Problem

A first number plus twice a second number is 7 . Twice the first number plus the second totals 32 . Find the numbers.

Answer

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Answer

The solution to the system of equations is (19,−6)

Steps

Step 1 ：Let's denote the first number as x and the second number as y.

Step 2 ：The problem can be represented as follows: x+2y=7 and 2x+y=32

Step 3 ：Solve the first equation for x to get x=7−2y

Step 4 ：Substitute x=7−2y into the second equation to get 14−3y=32

Step 5 ：Solve for y to get y=−6

Step 6 ：Substitute y=−6 into the first equation to get x=19

Step 7 ：The solution to the system of equations is (19,−6)

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