Question

system of equations is given below.
2x + 7y = 1
-3x – 4y = 5

A:Create an equivalent system of equations by replacing the first equation by multiplying the first equation by an integer other than 1, and adding it to the second equation.
B:Use any method to solve the equivalent system of equations (the new first equation with the original second equation).
C:Prove that the solution for the equivalent system is the same as the solution for the original system of equations.

Answer 1

Choose one variable to eliminate.
X in this case would be easier than Y.
6 would be the lowest common multiple of 2 and 3 so cross multiply both equations.
New equations
6x + 21y= 3
-6x-8y = 10 since 6x -6x=0 Add equations together to eliminate the x variable
13y=13
y=1 substitute y back into the first equation
x=-3
substitute x and y into original equations to see if they give the correct solutions.

Answer 2

thanks :) @hopelovelift