Answers
=============================================
Work Shown:
Isolate y in the first equation
2x+y = 5
y = 5-2x .... subtract 2x from both sides
y = -2x+5
Then plug this into the other equation
-3x - 5y = 3
-3x - 5( y ) = 3
-3x - 5( -2x+5 ) = 3 .... replace y with -2x+5
-3x + 10x - 25 = 3 .... distribute
7x-25 = 3
7x = 3+25 .... adding 25 to both sides
7x = 28
x = 28/7 .... divide both sides by 7
x = 4 is the answer
-------------------------------------
Optional Section:
Use this value of x to find y
y = -2x+5
y = -2(4)+5
y = -8+5
y = -3
Then we can check our answers by plugging them into the original equations
2x + y = 5
2(4) - 3 = 5
8 - 3 = 5
5 = 5
That confirms the first equation. Repeat for the second equation
-3x - 5y = 3
-3(4) - 5(-3) = 3
-12 + 15 = 3
3 = 3
We've confirmed both equations, so (x,y) = (4, -3) is the solution to this system. This system is considered independent and consistent.
Graphing the two original equations will show that they intersect at (4, -3).
Related Questions
Evaluate: f(x)=3x-10 if x=-1
Answers
Answer:
-13
Step-by-step explanation:
f(x)=-3-10
f(x)=-13
Answer:
-13
Step-by-step explanation:
if x=-1 then 3x=-3-10=-13
Maisie bought a house.
The value of the house decreased by 10% in 2016.
For three consecutive years, 2017, 2018 and 2019 the value of the house
increased.
Each year the percentage increase in value was the same each time.
The value of the house at the end of 2019 was 55.52% more than he paid for
the house.
Calculate the percentage increase in value of the house for each of the three
consecutive years.
Answers
The percentage increase in the value of the house each of the three years is 11.49%.
What is the percentage increase in the value of the house?The equation that can be used to represent the percentage change in the value of the house is:
(100x - 10%) + 3x% = 55.52%
90% + 3x = 55.52%
90% - 55.52% = 3x
34,48% = 3x
x = 34.48/3
x = 11.49%
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PLEASE HELP (100 Points!!!)
Answers
Answer:
1. E)2. C)Step-by-step explanation:
1.
Step E)
The mistake is:
2x - 5 on the numeratorCorrect way is:
3 - (2x - 8) = 3 - 2x + 8 = 11 - 2x2.
Step C)
The mistake is:
5x = x² + 4Correct way is:
5x = (x+2)²5x = x² + 4x + 4Answer:
First picture the step E is incorrect because:
[tex]\frac{3}{(x+4)(x-4)} -\frac{2x-8}{(x+4)(x-4)}[/tex][tex]=\frac{-2x-5}{(x+4)(x-4)}[/tex]
Instead you should change the step E to be: [tex]\frac{-2x-5}{(x+4)(x-4)}[/tex]
Second picture the step C is incorrect because:
[tex](\sqrt{5x})^{2}[/tex] =[tex](x+2)^{2}[/tex]
[tex]5x = x^{2} +4x+4[/tex]
[tex]not[/tex] [tex]5x=x^{2} +4[/tex]
Instead you should change the step C to be: [tex]5x = x^{2} +4x+4[/tex]
Change step D to:
[tex]5x -x^{2} -4x -4=0[/tex]
Change step E to:
[tex]x^{2}-x+4=0[/tex]
Change step F to:
[tex]x=\frac{1+-\sqrt{1-16} }{2}[/tex]
x∉R
HOPE IT'S HELP U
IF IT'S WRONG I'M SORRY:3
Gerald inherited $35,000 from his uncle. He spends $1400 a month. After how many months
will Gerald have less than $2,000?
Answers
Answer:
18 months
Step-by-step explanation:
35,000÷18=1944
First, we need to figure out the amounts of months that Gerald has total, with all of the money. So, we divide 35000 by 1400, this leaves us with 25. So, if he keeps spending 1400 per month, it will last him 25 months, but this is not what the question asks, is it? In 25 months, his inheritance will be fully depleted, in 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left (35000 - (24 * 1400))and in 23 months, he will have spent 32,200 dollars, meaning that he will have 2800 dollars.
"In 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left 35000 - (24 * 1400)"
35000 - (24 * 1400)
24 months
Identify the coordinates of the vertices of each figure after the similarity transformation.
Answers
Answer:
After translation:
Translation: (x, y) → (x-6, y-8)
W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)
After dilation:
Dilation: (x, y) → (2x, 2y), centered at (0, 0)
W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)
Step-by-step explanation:
Given the vertices of the Quadrilateral WXYZ
W(-4, 8)X(-4, 0)Y(-12, 4)Z(-8, 16)As the rule of translation is given by
Translation: (x, y) → (x-6, y-8)
So, after the translation the vertices of Quadrilateral WXYZ will be translated as:
W(-4, 8) → (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)
X(-4, 0) → (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)
Y(-12, 4) → (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)
Z(-8, 16) → (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)
Therefore,
W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)
Next, the rule of dilation is given by
Dilation: (x, y) → (2x, 2y), centered at (0, 0)
W'(-10, 0) → (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)
X'(-4, 0) → (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)
Y'(-12, 4) → (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)
Z'(-8, 16) → (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)
Therefore,
W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)
Joanne drinks a pint of milk. Debra drinks a liter of milk. Who drinks more?
Answers
If you don't know, you can just search it up.
1 liter equals 2.11338 pints, meaning a liter is more.
Debra drinks more milk.
But holy duck?!?!?! That's a WHOLE LOTTA MILK MAN.
9514 1404 393
Answer:
Debra
Step-by-step explanation:
A pint is about 0.473 liters, so Debra drinks more.
Find the value of x.
I tried 40 but it told me it was incorrect.
Answers
Answer:
44
Step-by-step explanation:
90 - 43 = 47
x + 3 = 47
x = 47 - 3
= 44
I think the answer is 44. Pls check and correct me if I'm wrong.
The graph below shows the numbers of cups of grape juice that are mixed with cups of lemon-lime soda to make servings of grape soda: A graph is shown. The values on the x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 2, 4, 6, 8, 10. Points are shown on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6 and 4, 8. These points are connected by a line. The label on the x-axis is Lemon lime Soda in cups. The title on the y-axis is Grape Juice in cups. What is the ratio of the number of cups of grape juice to the number of cups of lemon-lime soda? (1 point) a 2:1 b 1:2 c 8:1 d 1:8
Answers
Answer:
2:1
Step-by-step explanation:
I took the test
Answer:
I would say 2:1 too because for the grape, 2 is the first number which is alligned with 1 on lemon-lime
hope this helps!
Step-by-step explanation:
What is the number in standard form?
Answers
Answer:
D-87,100,000
Step-by-step explanation:
Move the decimal point from its position to the right 7 times because of the 7 indicated as the power.
Please mark as brainliest
I don’t understand please help!!!
Answers
Answer:
The answer
Step-by-step explanation:
Explanation
find x and y
2x+4y=8
x=3y-
Answers
Answer:
If the "-" after "3y" is a typo, then y = 8/7, x = 24/7
Step-by-step explanation:
you are drawing a map. two cities on the map are 7 inches apart. you know the actual distance between them is 1,750 miles. what is the scale factor for the map.
Answers
Hello betzy166817!
The correct answer is: 250 miles per inch.
You can multiply the number of inches on the map by 250 to find the number of miles.
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Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?
Answers
Answer:
points
Step-by-step explanation:
2
-12-11-10-9-8-7 -6 -5 -4 3-2
1
3 4 5 6 7 8 9 10 11 12
عا م
06 is
-4
-5
6
-7
-8
-9
-10
-11
-122
Answer:
Submit Answer
φ
or
U
00
>
2
(
(
Answers
Answer:
3
Step-by-step explanation:
you have to do it then multiply by three
All factors of eight
Answers
Answer:
1,2,4, and 8
Step-by-step explanation:
9) Five less than the square root of a number r
Answers
Please help the best you can!!
Answers
5.
A car needs 40 litres of petrol to travel for 216 km. If the car travels for 320 km, how
many litres of petrol are needed?
Answers
Answer:
59.2592592593 liters
Step-by-step explanation:
First do 320/216 and then multiply by 40
The value of 7 in 7.825 is 10 times 1 time or 1/10 times the value of 7 in 3.7
Answers
Answer:
It is ten times the value of the seven in 7.835
Step-by-step explanation:
7.825 x 1/10 = .7825
3.7 x 10 = 37
The seven shifted to the right in place value.
I hope this helps.
Answer:
10 times
Step-by-step explanation:
7 divided 0.7=10
what do we know?
what do we need to know ?
Answers
Answer:
we need to know how many students got a B or higher by those 25 students
Step-by-step explanation:
Please answer ASAP!!!
Answers
Answer:
The second one, I believe.
Step-by-step explanation:
What is the equation in slope-intercept form of the line that crosses the x-axis at (36, 0) and is perpendicular to the line represented by y=−49x+5
Answers
Answer:
y = 1/49x
Step-by-step explanation:
perpendicular lines have slopes that are opposite reciprocals. the y intercept is the second number in the point given (x,y). so the y intercept is 0
Answer:
b
Step-by-step explanation:
what is the slope and y-intecept in y=3/2x+3.
Answers
Answer: its a positive slope
answer:
Step-by-step explanation:
but i dont know the y-intercept tho
The regular price of a dress is $80. The price
has been marked up by 23%. What is the
amount of markup?
[A] $18.40
[B] $57.00
[C] $23.00
[D] $61.60
Answers
A $18.40
Explanation:
Answer:
A
Step-by-step explanation:
Graph the intercept.
What are points?
Answers
Answer:
start at 0 and go up 3 and put a point (your x)
start at 0 and also go up 5 and put a point (your y)
draw LINE HORIZONALY ACROSS THE (LEFT TO RIGHT ) on each line
you should have two horizonal lines parallel
Step-by-step explanation:
The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.
Answers
Answer:
The original length of each side of the equilateral triangle = x =15 inches
Step-by-step explanation:
Let Original length of side of equilateral triangle = x
If it is increased by 5 inches, the length will become = x+5
Since in equilateral triangle all the ides have same length so,
New Length of side 1 = x+5
New of side 2 = x+5
New Length of side 3 = x+5
Perimeter of triangle = 60 inches
We need to find the value of x
The formula used is: [tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3[/tex]
Putting values in formula and finding x
[tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15[/tex]
So, the original length of each side of the equilateral triangle = x =15 inches
a symbol that stands for a quantity that can change or have any one of a set of values.
Answers
Answer:
Variable
Step-by-step explanation:
A music company offers lessons.
They charge a registration fee of $30 and then $40 per lesson.
The equation y=40x+30 represents the total cost y of x lessons.
What would be the total cost for 3 lessons?
$150
$150
$120
$120
$180
$180
$130
$130
Answers
find the missing exponent 7^(?)*(7^(5))^(4)=7^(34) place only the missing exponents value in the answer box
Answers
9514 1404 393
Answer:
14
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
__
(7^?)(7^5)^4 = 7^34
(7^?)(7^20) = 7^34 . . . . simplify power of power
7^(?+20) = 7^34 . . . . . . simplify product
? +20 = 34 . . . . . . . . . . equate exponents of the same base
? = 14
Answer: 14
Step-by-step explanation:
Find the value of x that makes each parallelogram the given type (answer both please)
Answers
Answer:
a. x = 12
b. x = 4
Step-by-step explanation:
a. RECTANGLE
ABCD is a rectangle, AC and BD are its diagonals.
Diagonals of a rectangle are congruent.
Therefore,
AC = BD
10x + 8 = 9x + 20
10x - 9x = 20 - 8
x = 12
b. RHOMBUS
Diagonal of a rectangle bisect opposite angles.
Therefore,
(5x + 3)° = (2x + 15)°
5x + 3 = 2x + 15
5x - 2x = 15 - 3
3x = 12
x = 12/3
x = 4
The value of x for a rectangle will be 12.
The value of X for a rhombus is 4.
What is a parallelogram?A basic quadrilateral containing two sets of side lengths is known as a parallelogram. There are four types of parallelograms each with diffrent kinds of properties.
a. RECTANGLE
ABCD is a rectangle, Therfore the diagonals that are made will also be equal.
AC = BD
[tex]10x +8 = 9x + 20\\10x - 9x = 20 - 8[/tex]
x = 12
b. RHOMBUS
As this is a rhombus that is presented, the angle which is divided with the help of the diagonal will both be equal.
5x + 3 = 2x + 15
5x - 2x = 15 - 3
Simplifying the equation,
3x = 12
x = 12/3
x = 4
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