Question

What is the value of the y variable in the solution to the following system of equations?
5x + 3y = 7
3x - 5y = -23

-1

1

-4

4

Answer 1

HELP!!!!!!

Answer 2

sorry i dont know but i think it -4

Answer 3

thanks anyways

Answer 4

You can solve this a couple of ways. I'll use the substitution method:

Original equations:\[5x+3y=7\]\[3x-5y=-23\]
Solve one of those equations for a single variable. Since the question is only asking for the y value, I'll choose to solve the first equation for x:\[x=\frac{7-3y}{5}\]Substitute that into the second equation anywhere you see an x:\[3(\frac{7-3y}{5})-5y=-23\]Distribute the -3 to the fraction and you get:\[\frac{21-9y}{5}-5y=-23\]
Solve for y to get y = 4.