9514 1404 393
Answer:
- infinite solutions
- x = -2
Explanation:
1. The equation simplifies as follows:
5(x +2) =10 +5x
5x +10 = 5x +10 . . . . . eliminate parentheses, write in standard form
0 = 0 . . . . . . . . . . . . . . subtract 5x+10 from both sides
This is true for all values of x. Any value of x is a solution to this equation. There are an infinite number of solutions.
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2. 7/8(48x -8) +4 = 3(5x -19) . . . . given
42x -7 +4 = 15x -57 . . . . . . . . eliminate parentheses
25x = -50 . . . . . . . . . . . . . add 7-15x to both sides
x = -2 . . . . . . . . . . . . . . divide by 25
Check
7/8(48(-2) -8) +4 = 3(5(-2) -19) . . . . substitute for x
7/8(-96 -8) +4 = 3(-10 -19)
7/8(-104) +4 = 3(-29)
-91 +4 = -87 . . . . . . . . . . true