Question

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

Answer 1

Answer:

1. y= 5 /4 x −2

2.x=−4y+76

Answer 2

Answer:

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).