Answer:
Equation 2 of system divided by 2 on both sides then we get second equation of system 2.
Step-by-step explanation:
We are given two equations
[tex]2x+2y=14[/tex]
[tex]-4x+6y=12[/tex]
We are given a proof which shows an equivalent system of equations created from another system of equations
We have to fill the correct reason in the blank space
Statement:[tex]2x=2y=14[/tex]
[tex]-4x+6y=12[/tex]
Reason: Given
Statement :[tex]2x=2y=14[/tex]
[tex]-2x+3y=6[/tex]
Reason : equation 2 of system I divided by 2 on both sides then we get second equation of system 2.
When we divide by 2 then the solution does not change and x and y - intercepts are not change.So, the two systems are equivalent.
