y=-1/4x+5 and y=x+2 solve by substitution

Question

y=-1/4x+5 

y=x+2

solve by substitution

Answer 1

To solve by substitution, we put one equation in replacement of a variable. In this case, since they're bot equal to y, they equal one another:

-1/4x + 5 = x + 2

 

Now all we need to do is isolate x:

5 = (1 1/4)x + 2

3= (1 1/4)x

3 = 5/4 x

3 * 4/5 = x

x = 12/5

 

Now to check:

-1/4 * 12/5 + 5 = 12/5 + 2

-3/5 + 5 = 12/5 + 2

-3/5 + 25/5 = 12/5 + 10/5

22/5 = 22/5