10 Tommy was trying to solve the system of a linear equation and a quadratic equation shown below.
2x - y = -1
x2 - 5x - y = -7
Tommy 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 1: y = 2x + 1
Step 11: 2 - 5x - (2x + 1) = -7
Step III: 2 5x + 2x + 1 = -7
Step IV: 2 - 7x-1 = -7
G
Determine the step in which Tommy made his mistake and justify your reasoning.
FStep 1: Tommy should have transformed the first equation to y = 2x - 1)
Step II, Tommy should have substituted the expression 2x + 1 in for each variable.
H Step III; Tommy should have distributed into the parentheses yielding the equation 2 - 5x
2x + 1 = -7.
J Step IV; Tommy must set the quadratic expression equal to 0 before factoring,