Question

What is the solution to the system of equations?

Use the linear combination method.

{x+y=10
x+2y=4

Answer 1

x = 16 and y = -6

Explanation:

x + y = 10

x + 2y = 4

Multiply the first equation by -1 on both sides. Rewrite below it the second original equation.

-x - y = -10

x + 2y = 4

Add the two equations above.

y = -6

Now we solve for x. Multiply the first original equation by -2 on both sides and write the second original equation below it.

-2x - 2y = -20

x + 2y = 4

Add the two equations above.

-x = -16

Divide both sides by -1.

x = 16

Solution: x = 16 and y = -6