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solve each equation with substit 1. ( y = 3 - 2x ) ( y = 2 - 3x )

Question

solve each equation with substit

  1. ( y = 3 - 2x )

( y = 2 - 3x )

Explanation:

Step1: Set equations equal

Since $y = 3 - 2x$ and $y = 2 - 3x$, substitute one $y$ for the other:
$3 - 2x = 2 - 3x$

Step2: Isolate x variable

Add $3x$ to both sides, then subtract 3 from both sides:
$3 - 2x + 3x = 2$
$3 + x = 2$
$x = 2 - 3$
$x = -1$

Step3: Solve for y

Substitute $x=-1$ into $y = 3 - 2x$:
$y = 3 - 2(-1)$
$y = 3 + 2$
$y = 5$

Answer:

$x=-1$, $y=5$