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3 solve the system of equations by substitution: $2x + y = 8$ $x = 5$

Question

3
solve the system of equations by substitution:
$2x + y = 8$
$x = 5$

Explanation:

Step1: Substitute x=5 into first equation

Substitute $x=5$ into $2x + y = 8$:
$2(5) + y = 8$

Step2: Simplify and solve for y

Calculate $2(5)=10$, then rearrange:
$10 + y = 8$
$y = 8 - 10$
$y = -2$

Answer:

$x=5$, $y=-2$