How many solutions does the following
equation have?
7(y + 3) = 5y + 8
answer:
1 answer:
Answer:
One Solution
Explanation:
7(y + 3) = 5y + 8
Simplify both sides of the equation
7(y + 3) = 5y + 8
(7)(y) + (7)(3) = 5y + 8 (Distribute)
7y + 21 = 5y + 8
Subtract 5y from both sides
7y + 21 − 5y = 5y + 8 − 5y
2y + 21 = 8
Subtract 21 from both sides
2y + 21 − 21 = 8 − 21
2y = −13
Divide both sides by 2
2y = −13
2y / 2 = -13 / 2
y = -13 / 2
-13 / 2 = -6.5
y = -13 / 2 or -6.5
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