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

Step-by-step explanation:

$y=\dfrac{1}{4}x+2$    and      $y=x-1$

Using substitution method we get:

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