Tommy was trying to solve the system of a linear equation and a quadratic equation shown below. 2x – y = –1 x2 – 5x – y = –7 Tom

Question

3 years ago

11

Tommy was trying to solve the system of a linear equation and a quadratic equation shown below. 2x – y = –1 x2 – 5x – y = –7 Tom

my had completed the following steps in his algebraic solution process but could not factor the resulting quadratic, x2 – 7x – 1, to complete the problem. Step I: y = 2x + 1 Step II: x2 – 5x – (2x + 1) = –7 Step III: x2 – 5x – 2x – 1 = –7 Step IV: x2 – 7x – 1 = –7 Determine the step in which Tommy made his mistake and justify your reasoning.

Mathematics

1 answer:

drek231 [11] · Answer 1 · 2022-09-06T15:24:11+03:00

drek231 [11]3 years ago

4 0

Answer:

Step IV; Tommy must set the quadratic expression equal to 0 before factoring.

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