Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions
, and identify each equation as an identity, a contradiction, or neither
(A) 6x+4x-6=24+9x
(B)25-4x=15 -3x+10-x
(C) 4x+8=2x+7 +2x-20
1 answer:
Solve <span>6x+4x-6=24+9x. Combine all the x terms on one side and all the constants on the other:
10x-9x = 24+6, or x = 30. ONE soution.
Solve </span><span>4x+8=2x+7 +2x-20. Combine all the x terms on one side and all the constants on the other: 4x - 2x - 2x = 7 - 20 - 8 => 0 = -21
This is NEVER true, so </span><span>4x+8=2x+7 +2x-20 has NO SOLUTION.
Please try solving equation B yourself. Then I'd gladly comment on your work.</span>
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