Sarah solved this system of equations. 4x + 2y = –14 –10x - 7y = –25 Step 1: 40x + 20y = –140 –40x - 28y = 100 Step 2: –8y =

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3 years ago

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Sarah solved this system of equations. 4x + 2y = –14 –10x - 7y = –25 Step 1: 40x + 20y = –140 –40x - 28y = 100 Step 2: –8y =

–40 Step 3: y = 5 Step 4: 4x + 2(5) = –14 Step 5: x = –6 Step 6: Solution: (–6, 5) Did Sara find the correct solution to the system of equations? Explain. Yes, Sara found the correct solution. No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4. No, in step 4, she substituted the value of y back into the wrong equation to solve for x. No, in step 6, she switched the order of the solution. It should be (5, –6).

Mathematics