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nexus9112 [7]
3 years ago
13

Solve each system using substitution: 1. 4x - 5y= -15 y= -3x + 22

Mathematics
1 answer:
Bumek [7]3 years ago
3 0
4x - 5y = -15
y = -3x + 22

Plug in your y= equation into the y variable in the other equation

  4x - 5 (y) = -15
            ^^
y = (-3x + 22) = -15

4x - 5 (-3x + 22) = -15

Distribute

4x + 15x - 110 = -15

Combine like terms and add 110 over to -15

19x = 95

Then, divide the whole equation by 19

x = 5

Then, plug in your x into your y= equation

y = -3 (5) + 22
y = -15 + 22
y = 7

<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
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