Question

Which of the following equations will have only one solution?

4x - 4 = 4x

24a 22 -4(1-6a)

5x + 34 = -2(1-7x)

7(x + 3) = 3x + 4x + 21

Answer 1

5x + 34 = -2(1-7x)

Explanation:

5x + 34 = -2+14x

5x-14x=-2-34

-9x=-36

Divide through by -9

x= 4

Answer 2

5x + 34 = -2(1-7x)

This equation will have only one solution because it is a linear equation, it has only one variable and the two sides of the equation are set equal to each other, which means that there is only one value that x can take to make the equation true.

It can be solved by isolating the variable on one side, then solving for x.

The other equations listed have multiple solutions or no solutions.

Explanation: