Question

1)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?
A)Show that the solution to the system of equations 3x + y = 5 and 8x −7y = 6 is the same as the solution to the given system of equations
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
C) Show that the solution to the system of equations 15x + 13y = 17 and 7x − 8y = 6 is the same as the solution to the given system of equations
D)Show that the solution to the system of equations −13x + 15y = 17 and 7x − 8y = 6 is the same as the solution to the given system of equations

Answer 1

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

Explanation:

I just took the test and got it right

Answer 2

Option B.

Given that the equation 7x − 8y = 6 is multiplied by 1 and it is added to the first equation the new equation is

7x - 8y + x + 3y = 5 + 6; equivalent to

8x -5y =11; and the system is that equation with the second original one.
7x- 8y = 6