What is the solution to the system of equations?

Use the linear combination method.

{x+y=10

x+2y=4

x = 16 and y = - 6

Step-by-step 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