Find the number of solutions for |2a-7| +|2a-1| = 8
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Answer:
implifying
7(2a + 1) = 8
Reorder the terms:
7(1 + 2a) = 8
(1 * 7 + 2a * 7) = 8
(7 + 14a) = 8
Solving
7 + 14a = 8
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 14a = 8 + -7
Combine like terms: 7 + -7 = 0
0 + 14a = 8 + -7
14a = 8 + -7
Combine like terms: 8 + -7 = 1
14a = 1
Divide each side by '14'.
a = 0.07142857143
Simplifying
a = 0.07142857143
Step-by-step explanation:
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