Question

y=2x-2, 5x+y=5

Answer 1

y = 2x - 2 --- so sub 2x - 2 in for y in the other equation

5x + y = 5
5x + (2x - 2) = 5 --- add 2 to both sides
5x + 2x = 5 + 2 -- combine like terms
7x = 7 --- divide both sides by 7
x = 1

now we will sub 1 in for x in either equation to find y
y = 2x - 2
y = 2(1) - 2
y = 2 - 2
y = 0

we can then check our answers by subbing them back into either equation
5x + y = 5
5(1) + 0 = 5
5 = 5 (correct)

x = 1 and y = 0 or (1,0)