help we need help with geometry ????

Circle the order pair this is the solution to this system of linear equations

2x+y=10

3x-1/2 y = 11

The solution to this system is: (2,3) (3,4) (4,2) (5,8)

how to solve this ???
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1 Answer

Тhere are two methods to solve it. Let's use the elimination method.

Divide both sides of the first equation by 2. (Why????)

x +1/2y=5

Add the second equation with the one above.

x+1/2y+3x-1/2y=5+11

4x=16 (That's why!!! y is gone!)

x=4

Plug x=4 into one of the equations to find y.

8+y=10

y=2

Check:

8+2-10

12-1=11

by Level 8 User (35.3k points)

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