Find the solution to the system of linear equations. 2x – 4y = -10
-2x – y = 0
type your answer...
type your answer...

     x = -1          y = 2

Step-by-step explanation:

Notice that the coefficients of x are opposites of each other.  That makes the problem so much easier to solve.  All you have  to do is add the two equations and the x terms will be eliminated.

2x - 4y = -10

-2x - y = 0

    - 5y = -10

        y = 2        Substitute y = 2 into the first equation.  2x - 4(2) = -10

                                                                                          2x - 8 = -10

                                                                                               2x = -2

                                                                                                 x = -1

It is always a good idea to check your results into the equations to see if they satisfy the equations.