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warm up #8 01/30 solve using substitution x = 9 - 2y 3x + 5y = 20

Question

warm up #8 01/30 solve using substitution x = 9 - 2y 3x + 5y = 20

Explanation:

Step1: Substitute $x=9-2y$ into equation

$3(9-2y)+5y=20$

Step2: Expand and simplify left side

$27-6y+5y=20$
$27-y=20$

Step3: Solve for $y$

$-y=20-27$
$-y=-7$
$y=7$

Step4: Substitute $y=7$ into $x=9-2y$

$x=9-2\times7$
$x=9-14$
$x=-5$

Answer:

$x=-5$, $y=7$