Find the solution to the system of equations: x + 3y = 7

and 2x + 4y = 8

x = - 2, y = 3

Step-by-step explanation:

x + 3y = 7

2x + 4y = 8

Make the x term the same for both equations by multiplying the first equation by 2.

Now you have two equations with the same x terms.

2x + 6y = 14

2x + 4y = 8

Take the larger equation from the smaller to remove the x terms from the equations.

2x + 6y = 14

-

2x + 4y = 8

2y = 6

y = 3

Put the known y term back into the equations to find the y term

3 (3) + x = 7

9 + x = 7, x = - 2

12 + 2x = 8

2x = - 4, x = - 2