Which equation has no solution?
1 answer:
Answer:
<em>The equation which has no solution is 5 + 2(3 + 2x) = x + 3(x + 1) . </em>(see below for work)
Step-by-step explanation:
4(x + 3) + 2x = 6(x + 2)
4x + 12 + 2x = 6(x + 12)
4x + 2x = 6x
6x = 6x
x ∈ ℝ
5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 4x = x + 3(x + 3)
11 + 4x = x + 3x + 3
11 + 4x = 4x + 3
11 = 3
x ∈ ∅ (CORRECT ANSWER)
5(x + 3) + x = 4(x + 3) + 3
5x + 15 + x = 4x + 12 + 3
6x + 15 = 4x + 12 + 3
6x + 15 = 4x + 15
6x = 4x
6x - 4x = 0
2x = 0
x = 0
4 + 6(2 + x) = 2(3x + 8)
4 + 12 + 6x = 6x + 16
4 ÷ 12 = 16
16 = 16
x ∈ ℝ
Hope this helps! :)
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cross multiply
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