Answer:
(-2,-6)
Step-by-step explanation:
we have the two equations
x - y = 4 and x - 2y = 10
Notice how both equations have 1x.
This means that we can subtract the two equations, leaving us with a single variable ( because the 1x would cancel out ), we could then solve for that variable. This is known as the elimination method.
so subtract the two equations
x - y = 4
-(x -2y = 10) ( remove parenthesis and apply negative sign )
x - y = 4
-x +2y = -10
-------------------
y = -6
Now that we have found the value of y we simply plug in the value of y into one of the equations and solve for x.
x - y = 4
y = -6
x - (-6) = 4
remove parenthesis and change sign
x + 6 = 4
Subtract 6 from both sides
x = -2
We can conclude that the solution to the system of equations is (-2,-6)
