**Solve the system of equations. Check the answer algebraically. 2y = 5x-1, **
x + y = -1
First, subtract x from both sides in the second equation.
y = -x - 1
Plug this whole value of y into the first equation.
2y = 5x - 1
2(-x - 1) = 5x - 1
Distribute the 2 out.
-2x - 2 = 5x - 1
Add 2x and 1 to both sides to isolate the variable.
-2 = 7x - 1
-1 = 7x
Divide by 7 on both sides.
-1/7 = x
Plug x now into any one of the equations. I’ll choose y = -x - 1.
y = 1/7 - 1
y = -6/7
So your answers are x = -1/7 and y = -6/7. To check these answers, plug each into the equations, solve, and see how it turns out! If the equation turns out to be true, you’ve got the right answer.