Question

Find the solution to the system of equations: x + 3y = 7
and 2x + 4y = 8

Answer 1

x = -2, y = 3

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

Answer 2

Point Form:

( − 2 , 3 )

Equation Form:

x = − 2 , y = 3

Explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.