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.