Determine the x-coordinate of the solution of the system of equations below. You may use any method:

Question

2x-y=10
x+y=2

Determine the y-coordinate of the solution for the system of equations. You may use any method.

2x-y=10
x+y=2

Plz help i really don't understand these two Q please help by showing me step by step ;-; im so sorry

Answer 1

these two make substitution the method of choice.

x+y=2 means y = 2-x
So, using that in the other equation,
2x-(2-x) = 10
2x-2+x = 10
3x = 12
x = 4
now use either equation to see that y = -2
check:
2*4-(-2) = 8+2 = 10
4+(-2) = 4-2 = 2

similarly, you can substitute for x:
x = 2-y
2(2-y)-y=10
4-2y-y=10
-3y=6
y = -2
2*