Question

HELPPP LAST QUESTION!!!!! WILL UPVOTE

A system of equations is shown below:
6x − 2y = 3 (equation 1)
5x + 3y = 4 (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 10x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
B) Show that the solution to the system of equations 10x − 2y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
C) Show that the solution to the system of equations 11x − y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
D) Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations

Answer 1

When you multiply the equation 1 by 1, then it won't change and will be:
6x − 2y = 3
Now, when you'll add 2nd equation to it, then, it is:
= 11x + y = 7

In short, Your Answer would be Option D) Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations

Hope this helps!