A system of equations is shown below: x + 3y = 5 (equation 1) 7x − 8y = 6 (equation 2) A student wants to prove that if equation
2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?
The correct answer is B. Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations"
So, if the student proves that the system formed by the new equation and the second equation is the same, he/she will have the proof:
So, the answer is "s<span>how that the solution to the system of equations 8x − 5y = 11 and 7x −
8y = 6 is the same as the solution to the given system of equations"</span>