Question

What is the solution to the system of equations
1/4x+1 1/2y=5/8
3/4x-1 1/2y=3 3/8

Answer 1

A (4, -14)

Explanation:

edge

Answer 2

`\large\boxed{x=4,\ y=-(1)/(4)}`

Explanation:

`\underline{+\left\{\begin{array}{ccc}(1)/(4)x+1(1)/(2)y=(5)/(8)\\\\(3)/(4)x-1(1)/(2)y=3(3)/(8)\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad(4)/(4)x=3(8)/(8)\\\\.\qquad\boxed{x=4}\\\\\text{put the value of x to the first equation:}\\\\(1)/(4)(4)+1(1)/(2)y=(5)/(8)\\\\1+1(1)/(2)y=(5)/(8)\qquad\text{subtract}\ 1=(8)/(8)\ \text{from obth sides}\\\\1(1)/(2)y=-(3)/(8)\qquad\text{multiply both sides by 2}\\\\3y=-(3)/(4)\qquad\text{divide both sides by 3}\\\\\boxed{y=-(1)/(4)}`