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dmitriy555 [2]
3 years ago
10

Solve the following system of equations: y = 5/4x - 2 y = -1/4x + 19 x = ? and y = ?

Mathematics
2 answers:
Dmitry [639]3 years ago
4 0

Answer:

1. y= 5 /4 x −2

2.x=−4y+76

Natalija [7]3 years ago
3 0
<h2>Answer:</h2>

We will use substitution to solve this system for x.

y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14

Now, we will solve for y by pluging in what we got for x into one of the equations.

y = \frac{5}{4}(14) - 2\\\\y = \frac{35}{2} - 2\\\\y = \frac{31}{2} = 15.5

The solution is (14, 15.5).

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