Question

Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1

Answer 1

Answer: x = 4, y = 3

Explanation:

`y=(1)/(4)x+2` and
`y=x-1`

Using substitution method we get:

`x-1=(1)/(4)x+2\\\\\text{subtract}\ (1)/(4)x\ \text{from both sides}\rightarrow (3)/(4)x-1=2\\\\\text{add 1 to both sides}\rightarrow (3)/(4)x=3\\\\\text{multiply both sides by 4}\rightarrow 3x=12\\\\\text{divide both sides by 3}\rightarrow x=4\\\\\text{Insert x = 4 into one of the original equations to solve for y:}\\y=x-1\\y =(4)-1\\y=3`