Question

ms. martinez wrote this system of equations on the board.
x - 3y = 11
5x - 7y = -1
the solution to the system is ( choose , choose ).

Explanation:

Step1: Isolate x from first equation

$x = 3y + 11$

Step2: Substitute x into second equation

$5(3y + 11) - 7y = -1$

Step3: Simplify to solve for y

$15y + 55 - 7y = -1$
$8y = -56$
$y = \frac{-56}{8} = -7$

Step4: Substitute y back to find x

$x = 3(-7) + 11 = -21 + 11 = -10$

Answer:

$(-10, -7)$