Test 1 Section 3 number 18. Thanks

I love this question—it’s a great argument for making the elimination method of solving linear systems a major part of your SAT approach. The question asks you for x, but the fastest way to get x is to solve for y first.

x+y=-9\\x+2y=-25

See how there’s an x in each equation? That means that you can eliminate x by subtracting the equations from each other.

(x+2y)-(x+y)=(-25)-(-9)\\x+2y-x-y=-25+9\\y=-16

Of course, once you know that y = –16, it’s easy to plug back into the first equation to solve for x.

x+(-16)=-9\\x=7

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