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kumpel [21]
3 years ago
12

Solve the system of equations. -4x+7y = 20 & y=3x+15

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Substitute y = 3x + 15 to the equation -4x + 7y = 20:

-4x + 7(3x + 15) = 20          <em>use distributive property</em>

-4x + (7)(3x) + (7)(15) = 20

-4x + 21x + 105 = 20     <em>subtract 105 from both sides</em>

17x = -85     <em>divide both sides by 17</em>

x = -5

Substitute the value of x to the equation y = 3x + 15:

y = 3(-5) + 15

y = -15 + 15

y = 0

<h3>Answer: x = -5 and y = 0</h3>
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