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83. x + y = -28\ y = -2x - 26

Question

  1. x + y = -28\

y = -2x - 26

Explanation:

Step1: Substitute y into first equation

Substitute $y=-2x-26$ into $x+y=-28$:
$x + (-2x - 26) = -28$

Step2: Simplify and solve for x

Combine like terms and isolate x:
$x - 2x - 26 = -28$
$-x - 26 = -28$
$-x = -28 + 26$
$-x = -2$
$x = 2$

Step3: Substitute x to find y

Plug $x=2$ into $y=-2x-26$:
$y = -2(2) - 26$
$y = -4 - 26$
$y = -30$

Answer:

$x=2$, $y=-30$