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3 years ago

What is the solution to y=5x-7 -3x-2y=-12

Mathematics

2 answers:

poizon [28]3 years ago

7 0

Since −3x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3x to both sides.
y=5x−7
−2y=3x−12

Divide each term in the equation by −2.
y=5x−7
y=−3x/2+6

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(2,3)

likoan [24]3 years ago

4 0

$y=5x-7 \\
-3x-2y=-12 \\ \\
\hbox{substitute 5x-7 for y in the 2nd equation:} \\
-3x-2(5x-7)=-12 \\
-3x-10x+14=-12 \\
-13x+14=-12 \ \ \ |-14 \\
-13x=-26 \ \ \ |\div (-13) \\
x=2 \\ \\
y=5x-7=5 \times 2-7=10-7=3 \\ \\
\boxed{(x,y)=(2,3)}$

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4 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

6a-2(4a-5)=40 How do I solve it

Elza [17]

Answer:

Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.

Step-by-step explanation:

1.) Distribute

6−2(4−5)=40

6−8+10=40

2.) Combine like terms

6a-8a+10=40

-2a+10=40

3.) Subtract 10 from both sides of the equation

-2a+10=40

-2a+10-10=40-10

4.) Simplify

subtract the numbers

-2a+10-10=40-10

-2a=40-10

subtract the numbers

-2a=40-10

-2a=30

5.) Divide both sides of the equation by the same term

-2a=30

$\frac{-2a}{-2} =\frac{30}{-2}$

6.) Simplify

cancel terms that are in both the numerator or denominator

$\frac{-2a}{-2} =\frac{30}{-2}$

a= $\frac{30}{-2}$

Divide the numbers

a= $\frac{30}{-2}$

a=-15

a=-15

7.) Solution

a=-15

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3 years ago