Question

What is the solution of the linear system?

Answer 1

Answer:

$(3,-4)$

Step-by-step explanation:

Given

$-7x - 2y = -13$

$x = 2y + 11$

Required

Find the solution

Substitute $2y + 11$ for x in the first equation

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

Open bracket

$-14y -77 - 2y = -13$

Collect Like Terms

$-14y - 2y = -13+77$

$-16y = 64$

Solve for y

$y = \frac{64}{-16}$

$y = -4$

Substitute -4 for y in $x = 2y + 11$

$x = 2(-4) + 11$

$x = -8 +11$

$x = 3$

Hence, the solution is $(3,-4)$