2y = x + 3 5y = x - 7 What is the solution set of the given system?
1 answer:
Hi!
We need to find the value of x by isolating it on one side of one of the equations.
5y = x - 7
Add 7 to both sides.
5y + 7 = x - 7 + 7
5y + 7 = x
Now put the value of x in the other equation.
2y = 5y + 7 + 3
Simplify
2y = 5y + 10
Subtract 5y from both sides.
2y - 5y = 5y - 5y + 10
-3y = 10
Divide by -3 on both sides.
y = -10/3
Now put the value of y in the other original equation to solve for x!
5 * -10/3 = x - 7
-50/3 = x - 7
Add 7 to both sides.
-50/3 + 7 = x - 7 + 7
-29/3 = x
The answer is C.){(-29/3, -10/3)}
Hope this helps! :)
-Peredhel
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