Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
Step-by-step explanation:
Solve the following system by substitution.
2x – 3y = –2
4x + y = 24
The idea here is to solve one of the equations for one of the variables, and plug this into the other equation. It does not matter which equation or which variable you pick. There is no right or wrong choice; the answer will be the same, regardless. But — some choices may be better than others.
For instance, in this case, can you see that it would probably be simplest to solve the second equation for "y =", since there is already a y floating around loose in the middle there? I could solve the first equation for either variable, but I'd get fractions, and solving the second equation for x would also give me fractions. It wouldn't be "wrong" to make a different choice, but it would probably be more difficult. Being lazy, I'll solve the second equation for y:
4x + y = 24
y = –4x + 24
Now I'll plug this in ("substitute it") for "y" in the first equation, and solve for x:
2x – 3(–4x + 24) = –2
2x + 12x – 72 = –2
14x = 70
x = 5
(-3,3)
y
1
(12, -3)
What is the slope of the line shown?
Answer:USE GOOGLE
Step-by-step explanation:
I USE IT EVERY DAY
Answer:
7/5
Step-by-step explanation:
*******************
Robert has been riding his bike at a constant speed for the last 35 minutes. If Robert is traveling at a speed of 9 miles per hour, which equation best represents this relationship between the time in hours, t, and the distance in miles, d?
Answer:
A
Step-by-step explanation:
I looked it up
What is the solution to the equation 6x - 5 =15
X = 5/6
X = 5/3
X = 10/3
I don’t know
Plz I need this
Answer:
x=10/3
Step-by-step explanation:
step 1: add five to both sides to get rid of the -5.
step 2: divide 6 on both sides to isolate the variable
step 3: simplify 20/6 by finding the greatest common factor which is 2.
Answer:
5/3
Step-by-step explanation:
I believe it's the answer because 15 minus 5 is 10 and if you divide it its 3 over 5 but its switched here so your answer is 5/3
The following table gives the mean scores for 4 different classes
on the same test.
Class A Class B Class C Class D
72% 82% 63% 78%
What is the combined average for classes A, B, C and D, if
class A has 30 students, class B has 22 students, class C has
35 students, and class D has 27 students?
A
73.8%
73.5%
B
72.6%
D = 71.9%
Answer:
a
Step-by-step explanation:
a
130-y=224
solve for y
Answer:
Y = -94
Step-by-step explanation:
130 - y = 224 -subtarct 130
-y = 94 -multiply by -1
y = -94
Hope this helps. Pls give brainliest.
Answer:
y = -94
Step-by-step explanation:
130 - y = 224
subtract 130 from both sides
130 - 130 - y = 224 - 130
-y = 94
u want y not -y so divide both sides with "-"
y = -94
Can someone help me with this question it’s 7.55 x 4.5
Answer:
33.975
Step-by-step explanation:
Can someone help me with those and explain please. Ill give brainlist
Answer:
1. 23x/10
2. 13x/10
Step-by-step explanation:
explanation: find the common denominator and then go from there. i suck at in depth explanations but as long as you get the gist of it youre good
(3,-1) slope= 2 what is the equation?
Answer:
y = 2x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = 2x - 7 ← equation of line
what is tan 30 degrees?
look at photo
i’ll give brainliest
2x+5=17 I need help :(((((((
Answer:
the answer is 6
Step-by-step explanation:
the first thing you need to do is take 5 away from 17 to get 12 2x=12 then you need to divide 2 from both
HELP ASAPPPP!!!!!!!!!!!!!!!!!!
What is 50% of a dollar
HELP ME FAST
Answer:
50 cents
(⓿_⓿)
Examine the following table of points, which are all on a certain line.
x y
−2 4
0 2
1 1
3 −1
What is the slope of this line?
Enter your answer as a number, like this: 42
Or, if the slope is undefined, enter a lowercase letter "u," like this: u
9514 1404 393
Answer:
-1
Step-by-step explanation:
The slope formula is useful:
m = (y2 -y1)/(x2 -x1)
m = (2 -4)/(0 -(-2)) = -2/2 = -1
The slope of this line is -1.
_____
The points on the line drop 1 unit for each 1 unit to the right.
m = rise/run = -1/1 = -1
Each morning, Stacey makes 20 cinnamon bagels for his customers at Barney's Bagels. Because of a recent increase in the popularity of cinnamon bagels, she has increased the number she bakes each morning by 80%. How many cinnamon bagels does Stacey now bake each day?
Answer: Stacey now bakes 36 cinnamon bagels.
Step-by-step explanation:
Given: Each morning, Stacey makes 20 cinnamon bagels.
She has increased the number she bakes each morning by 80%.
Number of cinnamon bagels Stacey bake = 20+80% of 20
= 20+ (0.80)x 20 [To remove % , divide number by 100, So 80%=0.08]
= 20+16 [(0.80)x 20=16 ]
= 36
Hence, Stacey now bakes 36 cinnamon bagels.
x^2+ 5x – 6.
A.)(x-1)(x+6)
B.)(x+1)(x-6)
C.)(X-2)(x-3)
D.)(x-2)(x*3)
Answer:
A bruh
Step-by-step explanation:
trust the process
if the solutions of p(x)=0 are -14 and 11, which function could be p?
(A) p(x)=x^2-3x-154
(B) p(x)=x^2-14x+11
(C) p(x)=x^2+14x+11
(D) p(x)=x^2+3x-154
Answer:d
Step-by-step explanation:
The required function is [tex]P(x)=x^2+3x+154[/tex]. So, option D is correct.
Important information:
The solutions of [tex]p(x)=0[/tex] are [tex]-14[/tex] and 11.We need to find the function p(x).
Function:If [tex]x=c[/tex] is a solution of [tex]p(x)=0[/tex], then [tex](x-c)[/tex] is a factor of p(x).
It means [tex](x+14)[/tex] and [tex](x-11)[/tex] are two factor of p(x).
[tex]P(x)=(x+14)(x-11)[/tex]
[tex]P(x)=x^2-11x+14x+154[/tex]
[tex]P(x)=x^2+3x+154[/tex]
Therefore, the correct option is D.
Find out more about 'Function' here:
https://brainly.com/question/19446232
WILL GIVE BRAINLIEST write an equation for the nth term of the sentence and find the 91st term -2,3,8,13,...
Answer:
y=X+5?
Step-by-step explanation:
This is a hard one but this may be correct
What is the slope of the line perpendicular to the line represented by the equation y = 4x - 7? *
a)-1/4
b)-7
c) 4
d)-4
Answer: im kinda losing brain cells rn
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
HELPPP FASTTT PLEASEEEEEEEEEE
Use a table, an equation, and a graph to represent the relationship below.
Ty is 6 years younger than Bea.
Answer:
UkwkwkwStep-by-step explanation:
Answer:
b-6=t
Step-by-step explanation:
df/ dt = lim f( t + h ) - f(t)
______________
h
Answer:
boi
Step-by-step explanation:
Alexandro received two quotes for new carpet for his home. The quote from Home Depot is $0.20 less per square foot than the quote from Lowe's. If Alexandro plans to buy 1,300 square feet of carpet, how do his total costs from the two companies compare? *
Answer:
Total cost as per Lowe's is $260 more than that of Home Depot.
Step-by-step explanation:
Given that:
Alexandro received two quotes for new carpet.
One from Home Depot and other from Lowe's.
Let quote from Home Depot = [tex]\$x[/tex] per sq foot
As per question statement,
The quote from Lowe's = [tex]\$x[/tex]+0.20 per sq foot
Alexandro plans to buy 1,300 square feet of carpet.
Total Cost as per Home Depot's quote = [tex]\$1300x[/tex]
Total Cost as per Lowe's = [tex]\$(x+0.20)\times 1300 = \$1300x + \$260[/tex]
Now taking the difference of the total cost:
Lowe's total cost - Total cost as per Home Depot.
[tex]\$1300x+\$260 - \$1300x \\\Rightarrow \$260[/tex]
So, the answer is:
Total cost as per Lowe's is $260 more than that of Home Depot.
A number minus seven is nine.
Answer:
Your answer would be 16 - 7 = 9.
You can simply add the two numbers and it would still give you the same answer, but I decided to just look for the number.
Step-by-step explanation:
I hope this helped solve your question.
Maria got 50% of the questions correct on her science test. If she got 32 questions correct, how
many questions were on the exam?
Answer:
64
Step-by-step explanation:
:)
Answer:
64 Questions
Step-by-step explanation
50% x 2 = 100%
32 x 2 = 64
If John can paint half of a room in two-thirds of an hour, what part of the room can he paint in a full hour?
Answer:
0.75(3/4) part of the roomStep-by-step explanation:
Step one:
given data
we can express the given data mathematically as
John can paint 0.5room in 2/3 hours
let the part of the room he can paint in an hour be x
so
if he takes 2/3 hours to paint 0.5 room
then he will take 1 hour to paint x
cross multiply we have
x= 0.5/2/3
x=0.5*3/2
x= 1.5/2
x=0.75 part of the room
75/100= 15/20=3/4 part
On a map, a city block is a square with three vertices at (-4,1), (1,1), and (1,-4). What are the remaining coordinates of the remaining vertex ?
Answer:
(-4, -4)
Step-by-step explanation:
Does anyone know how to do part b?
Answer:
No
’
Step-by-step explanation:
An airline knows that 9 out 50 passengers who book a flight do not show up. If 300 people booked a flight , how many will not show up?
A) 45 passengers
B) 54 passengers
C) 100 passengers
D) 27 passengers
Answer:
300 divided by 50 is 6. 6 x 9 is 54. your answer is B)54
Step-by-step explanation:
Which of these could you represent with a ratio? A how many diet sodas there are in the fridge compared to how many regular sodas B the average age of writers for a newspaper C the maximum number of people that can fit inside an elevator D how many square feet of carpet are needed to completely cover the floor
Answer:
a
Step-by-step explanation:
Please help me really quick! :DD
Answer:
Correct equation: 4b^2 -b-138= 0
Solution: 6 meters
Step-by-step explanation:
The base has to be 6, and that’s the equation that works with that number.