Answer: [tex]y=-1[/tex]
Step-by-step explanation:
Given the following system of equations:
[tex]\left \{ {{7x - 7y = 49} \atop {3x - 16y = 34}} \right.[/tex]
You can use the Substitution Method to find the value of "y".
The procedure is:
1. Solve for "x" from the first equation:
[tex]7x - 7y = 49\\\\7x=49+7y\\\\x=7+y[/tex]
2. Substitute this equation into the second equation of the system and solve for "y":
[tex]3x - 16y = 34\\\\3(7+y) - 16y = 34\\\\21+3y-16y=34\\\\-13y=34-21\\\\y=\frac{13}{-13}\\\\y=-1[/tex]
