Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

warm up #7 01/27 solve each system by substitution. 1) $4x + 3y = -8$ $…

Question

warm up #7 01/27
solve each system by substitution.

  1. $4x + 3y = -8$

$-8x + y = -12$
$(1, -4)$

Explanation:

Step1: Isolate y in second equation

$y = 8x - 12$

Step2: Substitute y into first equation

$4x + 3(8x - 12) = -8$

Step3: Simplify and solve for x

$4x + 24x - 36 = -8$
$28x = 28$
$x = 1$

Step4: Substitute x=1 into y=8x-12

$y = 8(1) - 12 = -4$

Answer:

$(1, -4)$