Question

A system of equations is shown:

5x + 2y = 3 (equation 1)
2x − 3y = 1 (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?

Show that the solution to the system of equations 7x − y = 4 and 2x − 3y = 1 is the same as the solution to the given system of equations.
Show that the solution to the system of equations 2x + 5y = 3 and 3x − 2y = 1 is the same as the solution to the given system of equations.
Show that the solution to the system of equations 9x + 4y = 5 and 7x − y = 4 is the same as the solution to the given system of equations.
Show that the solution to the system of equations −4x + 9y = 5 and 2x − 3y = 1 is the same as the solution to the given system of equations.

Answer 1

NEED help please

Answer 2

The question is worded a bit confusingly, but let’s break it down step by step

He wants to prove that the solution is the same when:

1. Equation 2 is kept the same (so 2x − 3y = 1)
2. Equation 1 is replaced. It will be replaced with equation 1 + some multiple of equation 2.

So for example, you could replace equation 1 with (equation 1 + equation 2). Try adding equation 1 and equation 2, and replace the original equation 1 with this sum.

In the end, you will have a new system with 1 the original equation 2 and the new equation 1. The correct answer choice should match your new system.