Question

4(a+2)=14-2(3-2a)

A.-2


B.-1


C.all real numbers


D.no solutions

Answer 1

All real numbers

Explanation:

There is 3 possible solutions to a linear equation:

• One solution -a unique x value that makes the equation true
• No solution - a false statement is given after solving without a value for x
• Infinite solution - a true statement is given after solving without a value for x

Solve using inverse operations:

4(a+2)=14-2(3-2a)

4a+8=14-6+4a

4a-4a+8=8+4a-4a

8=8

Is 8=8? Yes. Therefore this is a true statement with no value for x. Infinite solutions or all real numbers.