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7x + 2y = 13 x = 2y + 11

1 Answer

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Answer:

7x + 2y = 13

x = 2y + 11

7(2y + 11) + 2y = 13

14y + 77 + 2y = 13

16y + 77 = 13

16y = -64

Dividing by 16:

y = -4

x = 2y + 11

x = 2(-4) + 11

x = 3

Explanation:

To solve the system of equations:

7x + 2y = 13

x = 2y + 11

We can start by substituting the second equation into the first equation, replacing x with 2y + 11:

7(2y + 11) + 2y = 13

Simplifying this equation:

14y + 77 + 2y = 13

Combining like terms:

16y + 77 = 13

Subtracting 77 from both sides:

16y = -64

Dividing by 16:

y = -4

Now that we know the value of y, we can substitute it back into either of the original equations to find the value of x. Let's use the second equation:

x = 2y + 11

x = 2(-4) + 11

x = 3

Therefore, the solution to the system of equations is x = 3 and y = -4. We can check this by substituting these values back into both of the original equations and verifying that they are true.

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