Solve using substitution.
y = –10x + 4
y = –4x − 2
Since both equations are already solved for y, we can substitute one equation into the other to solve for x.
Since y = -10x + 4, we can substitute this expression for y in the second equation:
-10x + 4 = -4x - 2
Now, we can solve this equation for x:
-10x + 4 + 4x = -4x + 4x - 2 + 4
-6x + 4 = -2
Next, we can isolate the x term:
-6x + 4 - 4 = -2 - 4
-6x = -6
Now, divide both sides of the equation by -6 to solve for x:
(-6x)/-6 = (-6)/-6
x = 1
Now that we have found x = 1, we can substitute this value into either equation to solve for y. Let's use the first equation, y = -10x + 4:
y = -10(1) + 4
y = -10 + 4
y = -6
So, the solution to the system of equations is x = 1 and y = -6.