Problem

1. {2x+y=−10x−3y=2

Answer

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Answer

x=−4,y=−2

Steps

Step 1 ：Multiply the first equation by 3 and the second equation by 1 to make the coefficients of y equal: {6x+3y=−30x−3y=2

Step 2 ：Add the two equations to eliminate y: 7x=−28

Step 3 ：Divide by 7 to find x: x=−4

Step 4 ：Substitute x back into one of the original equations to find y: −4−3y=2

Step 5 ：Solve for y: y=−2

Step 6 ：x=−4,y=−2

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