Answers
Answer:
(4,5)
Step-by-step explanation:
To begin, we'll solve for y in the first equation.
-y = 3 - 2x
y = 2x - 3
Then, plug this in for y in the second equation.
9x - 6(2x-3) = 6
9x - 12x + 18 = 6
-3x = -12
x = -12/-3
x = 4
Then, you just plug your x value into one of the equations and solve for y. Personally, I think it's easiest to plug it into y = 2x - 3
y = 2(4) - 3
y = 8 - 3
y = 5
[tex]\bold{\huge{\purple{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given:-}}[/tex]
We have given two equations that is 2x - y = 3 and 9x - 6y = 6[tex]\bold{\underline{ Let's \: Begin :-}}[/tex]
[tex]\sf{ 2x - y = 3 ...eq( 1 )}[/tex]
[tex]\sf{ 9x - 6y = 6 ...eq( 2 )}[/tex]
Solving eq( 1 ) :-
[tex]\sf{ 2x - y = 3 }[/tex]
[tex]\sf{ x = 3 + y/2 ...eq(3 )}[/tex]
Subsitute eq( 3 ) in eq( 2) :-
[tex]\sf{ 9(3 + y/2) - 6y = 6}[/tex]
[tex]\sf{ 27 + 9y/2 - 6y = 6}[/tex]
[tex]\sf{ 27 + 9y - 12y/2= 6}[/tex]
[tex]\sf{ 27 + - 3y = 6 × 2 }[/tex]
[tex]\sf{ - 3y = 12 - 27 }[/tex]
[tex]\sf{ - 3y = - 15 }[/tex]
[tex]\sf{ y = -15/-3}[/tex]
[tex]\sf{ y = 5 }[/tex]
[tex]\sf{\red {Thus, \: the\: value\: of \:y \: is\: 5 }}[/tex]
Now, Subsitute value of x in eq( 3) :-
[tex]\sf{ x = 3 + 5/2 }[/tex]
[tex]\sf{ x = 8/2 }[/tex]
[tex]\sf{ x = 4}[/tex]
[tex]\sf{\pink{Hence , \: the\: value\: of\:x\:and \:y \: is\: 4 \: and \: 5 .}}[/tex]
Related Questions
3 John can clean pools at a constant rate of What is the ratio of pools to hours? pools per hour.
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Pleaseeeeee help??????????
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Answer:
20 units
Step-by-step explanation:
there is a theroem when a tangent and secant intersect outside a circle
as per it
CU*DU = GU^2
7.2*DU = 12*12=144
DU = 20 units
Sally has 8 coins in her wallet that added up to $1.10. She only has dimes and quarters. How many dimes did she have?
Answers
Answer: 2 Quarters and 6 dimes
Step-by-step explanation:
2 quarters = 50 Cents
6 Dimes = 60 Cents
2 Quarters + 6 Dimes = $1.10
6*7=5*7 PLEASE HELP ME I NEED HELP
Answers
Answer:
Step-by-step explanation:
we simply the both sides:
6*7=5*7 |:7
So: 6=5 is remained. So I guess you’ll have to write it in this way:
6≠5.
Direction: give the property used in each equation. Then, write the missing numbers.
1.( 8+15 ) + ( 4+9 ) = ( 4+__) + (__+ 15 ) Property:________
2. (5
Answers
Answer:
( 8+15 ) + ( 4+9 ) = ( 4+9 ) + ( 8+15 )
Associative Property of Addition
Step-by-step explanation:
Can You answer this word problem?
Answers
Answer:78
Step-by-step explanation:
We could display this algebraically. Let's call the initial number of people on the boat .
So,
−26+22=74
Then let’s combine like terms, -26+22 = -4.
⟹−4=74
Add 4 to each side…
⟹=78
Write an inequality that describes all the points that are more than 3 units from 5.
Answers
Step-by-step explanation:
[tex]3 < x \geqslant 5[/tex]
The tenth term of a linear sequence is 18.The term-to-term rule is subtract 4.work out the fourth term of the sequence? please explain why the answer is.....?
Answers
The fourth term is 42.
An equation to represent this situation is 58 - 4n. We can plug in 10 to check our answer. 58 - 4(10) is 58 - 40 which is 18.
Write an equation in Point-Slope Form for the given information.
m=4/5;(2,0)
Answers
Answer:
y-0 = 4/5(x-2)
Explanation:
0 is the y point so it goes in the y-y1 spot. The m or the slope goes into the m spot by the parenthesis. The 2 goes into the spot of the m-m1. One thing that is important is that when plugging in the point into the equation is to always put in the inverse. So if 3 was the y point, the equation would be y-3, if it was a negative point it would be, y + 3.
Represent 1.5, 2.7 and 0.9 on a number line
Answers
Answer:
Where would the decimal number 1.5 be on a number line? The decimal number 1.5 has a whole number of 1, which is the number to the left of the decimal. The number 1.5 is halfway between 1 and 2.
Step-by-step explanation:
Reflect across the Y-axis.H(1,3)H
Answers
Answer:
Is there a graph? I would love to help out just need a little more help.
Step-by-step explanation:
If anyone minds, can someone answer this and show your work pls.
Answers
Answer:
x=2 y=16 so (2,16)
Step-by-step explanation:
y=10x-4 --> 8x=10x-4
-10x -10x
-2x=-4
-2/-2x -4/-2
x=2
y=10x-4 --> y=10(2)-4
y=20-4
y=16
Answer:
2 ; 16
Step-by-step explanation:
y = 8x _
y = 10x - 4
___________
0=2x-4
4=2x
x=2
=> y=8*2=16
TL
A triangle has sides with lengths of 8 feet, 15 feet, and 17 feet. Is it a right triangle?
Answers
Answer:
Step-by-step explanation:
To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.
a^2 + b^2 = c^2
c is the hypotenuse, the longest side of a right triangle.
a and b are the legs of the right triangle.
a = 7
b = 15
c = 17
7^2 + 15^2 = 17^2 ?
49 + 225 = 289 ?
274 ≠ 289
Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.
have a good day :)
Jim has $84,410 in a savings account that earns 15% interest per year. How much will he have in 4 years?
Answers
Answer:
50,646
Step-by-step explanation:
Jim would have saved 50,646 in 4 years
1 Year= 12.6615
12.6615 x 4=50,646
Jim will have $5,149,010 in 4 years.
What is Simple Interest?Simple interest is a method for figuring out how much interest was paid on a sum of money during a specific time period at a specific rate. Simple interest has a constant principle amount. Simple interest is a clear-cut and simple method for computing financial interest.
We have,
P = $84,410.
R= 15%
T = 4 years
Using Simple Interest
SI = (P x R x T) / 100
SI = (84410 x 15 x 4)/100
SI = 5,064,000
So, the amount is
= 84,410 + 5,064,000
= 5,149,010
Learn more about Simple Interest here:
https://brainly.com/question/25845758
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please help 5 POINTS THIS TIME SORRY MIGHT BE DOING A GIVE AWAY GIVING BRAINLIEST
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Volume of 1st box:
[tex]3 \times 5 \times 8 = 120ft ^{3} [/tex]
Volume of 2nd box:
[tex]3 \times 5 \times 4 = 60ft ^{3} [/tex]
Combined volume:
[tex]120 + 60 = 180ft ^{3} [/tex]
What expression is equivalent to (4x–5) (2x-3)?
Answers
Answer:
8x^2-22x+15
Step-by-step explanation:
Multiply them together
Answer:
There are many, many, different expressions equivalent, but if you distribute them together you come up with:
8x² - 22x + 15
Step-by-step explanation:
When distributing (4x–5) (2x-3) we should end up with four values, and then add them together.
[] The outside numbers of 4x and -3
-> 4x * -3 = -12x
[] The inside numbers of -5 and 2x
-> -5 * 2x = -10x
[] The left numbers of 4x and 2x
-> 4x * 2x = 8x²
[] The right numbers of -5 and -3
-> -5 * -3 = 15
Now we can add them together;
-12x + -10x + 8x² + 15
8x² - 22x + 15
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Find the product. Write your answer as a mixed number in simplest form 4 2/9 x 2 4/9
Answers
Hope this helps!
The wholesale price for a bookcase is $115. A certain furniture store marks up the wholesale price by 39% . Find the price of the bookcase in the furniture store.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
$159.85
Step-by-step explanation:
Answer this qn sm1
Also, can others check on my latest 2 qns?
Answers
Answer:
Check the attachment.
Can someone please help me?
Answers
An angle measures 52° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
Measure of each angle is 71 and 19 degrees.
Step-by-step explanation:
Let's the angle be "n"
Complementary angle = 90 °
n- (90-x) = 52
n - 90+ n = 52
Combine like terms
n - 90+ n = 52
2n-90=52
Add 90 to both sides of the equation
2n-90+90=52+90
simplify
2n = 142
Divide both sides of the equation by the same term
2n/2 = 142/2
Simplify
n = 71
2n = 142
Measure of each angle
1st = 71
2nd = 90-71 = 19
[RevyBreeze]
Help me solve this problem
Answers
Answer:
=, there are equal
Step-by-step explanation: < means less than and > means greater than and = is just equal.
Use your calculator to the square root of 125.
The answer is 11.180...... and so on. But we just leave it as 11. Therefore, 11 and 11 are equal. That's the answer to your question.
Question 2 of 5
Which expression is equivalent to 4(x + 3)?
A. 4 + x + 3
B. 4x + 12
C. 4x + 3
D. 4x + 3x
SUBMI
Answers
4(x+3) = 4x + 12
So our final answer will be B
Hey there!
4(x + 3)
= 4(1x + 3)
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(1x) + 4(3)
= 4(x) + 4(3)
= 4x + 12
Therefore, your answer is:
Option B. 4x + 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Simplify 10 times the square root of quantity 2 y end quantity plus 5 times the square root of quantity 2 y end quantity plus 3 times the square root of quantity 2 y end quantity . 18 times the square root of quantity 6 y end quantity 18 times the square root of quantity 2 y end quantity 12 times the square root of quantity 2 y end quantity 18 times the square root of quantity 6 y cubed
Answers
Answer:
18√(2y)
Step-by-step explanation:
10√(2y) + 5√(2y) + 3√(2y) =
= 18√(2y)
= 18√(2y)
Simplifying Square Roots. To simplify a square root make the number inside to square root as small as possible (but still the whole number) Get your calculator or check if you need them are both have the same value this is the rule when a or b are possitive.
= 10√(2y) + 5√(2y) + 3√(2y)
= 18√(2y)
How do I use the simplify calculator?Enter a expression who want to simplify into the editor. The simplification calculator allows you for take a simple and complex expression or simplify or reduce the expression to it is simplest way. The calculator works for both numbers or expressions containing variables
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55 points please answer correctly you will be marked brainiest!
Answers
Answer:
Answers are in picture, and they are color-coded.
Step-by-step explanation:
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Answer:
Upper quartile- The median of the upper half of a set of data
Lower Quartile- The median of the upper half of a set of data
Quartile- Divides a data set into four equal parts
Range- Difference between the highest and lowest data points
Interquartile- The difference between the upper quartile and the lower quartile
Select all the equations on which the point (10,0) lies.
Answers
Answer:
B, C
Step-by-step explanation:
Since y=0, you are looking for equations such that 10 times the coefficient of x is the constant in the equation.
a) 5·10 ≠ 15
b) 2·10 = 20 . . . . select this one
c) 10 = 10 . . . . select this one
d) 3·10 ≠ 13
e) 4·10 ≠ 20
f) 6·10 ≠ 50
the link don't work just tell me the answer
Answers
Answer:
6/8 = 12/18
Step-by-step explanation:
hope this helps :D
Only number 5 please help
Answers
At a certain restaurant, 5 sandwiches and 7 burritos will cost $57.40. In addition, 4 sandwiches and
2 burritos cost $32.60. Assuming that we are talking about the same sandwiches and burritos, what
is the cost of 1 sandwich? What is the cost of 1 burrito? Let x represent the cost of a sandwich
and y represent the cost of a burrito. Show ALL work!
Equation #1:
Equation #2:
Cost of 1 sandwich:
Cost of 1 burrito:
Answers
Answer:
sandwich: $6.30burrito: $3.70Step-by-step explanation:
The two relations can be written in general form using the given variable definitions as ...
5x +7y -57.40 = 0
4x +2y -32.60 = 0
The solution using the cross-multiplication method is ...
d1 = (5)(2) -(4)(7) = 10 -28 = -18
d2 = (7)(-32.60) -(2)(-57.40) = -228.20 +114.80 = -113.40
d3 = (-57.40)(4) -(-32.60)(5) = -229.60 +163 = -66.60
x = d2/d1 = -113.40/-18 = 6.30
y = d3/d1 = -66.60/-18 = 3.70
The cost of 1 sandwich is $6.30.
The cost of 1 burrito is $3.70.
_____
For more about the cross-multiplication method of solving systems of equations, see ...
https://brainly.com/question/26397343
How long would it take to travel 315 mi at the rate of 45 mi/h?
360 h
or
14,175 h
or
270 h
or
7 h
Answers
Answer:
7 h
Step-by-step explanation:
315 miles / 45 miles per hour
cross out the miles since those units cancel out
7 hours