Solve the system of equations and type the answer in the space provided without any spaces between the letters, numbers, or symbols.

Question

x + 2y = 7

2x − 5y = -4

Answer 1

Try multiplying the first equation by (-2) and then adding it to the second equation.

Then solve the resulting single variable equation for y, and substitute this value into one of the original equations to find x.

Answer 2

First, solve for x in the simpler equation:

x+2y=7

isolate x by subtracting 2y from both sides

x=7-2y

Then, plug your new x into the second equation:

2(7-2y) -5y = -4

distribute the 2 to the (7-2y)

14-4y-5y=-4

combine like terms (-4y-5y)

14-9y=-4

cancel the 14 by subtracting it from both sides

-9y=-18

isolate y by dividing both sides by -9

y=2

Now, go back to the original equation and plug in 2 for y to get x

x+2(2)=7

x+4=7

x=3

So, your answer is (3,2) or x=3 y=2