Answer:
The solution to the system of equations be:
x = 2, y = 4
Explanation:
Given the system of equation
y - 2 = x
y = 3x - 2
substitute y = 3x - 2 in the equation y - 2 = x
y - 2 = x
(3x - 2) - 2 = x
3x -2 -2 = x
3x - 4 = x
add 4 from both sides
3x - 4 + 4 = x + 4
3x = x + 4
subtract x from both sides
3x - x = x + 4 - x
3x - x = 4
2x = 4
divide both sides by 2
2x/2 = 4/2
x = 2
For y = 3x - 2, plug in x = 2
y = 3x - 2
y = 3(2) - 2
y = 6 - 2
y = 4
Therefore, the solution to the system of equations be:
x = 2, y = 4