The first statement is correct whereas the second statement is wrong. This can be obtained by solving the algebraic equation for the value of x.
Here in the question it is given that the statements,
1) 6x + 5 = 5x + 8 + 2x, the solution x = -3
2) 16 - x = x + 1, the solution x = 12
We have to find the solution to each algebraic equation by solving for the value of x.
1) 6x + 5 = 5x + 8 + 2x
Add like terms,
6x + 5 = 7x + 8
Add -6x on both sides of the equation,
6x - 6x + 5 = 7x - 6x + 8
5 = x + 8
Add -8 on both sides of the equation,
5 - 8 = x + 8 - 8
x = - 3
Thus the given statement is true.
2) 16 - x = x + 1
Add x on both sides of the equation,
16 - x + x = x + x + 1
16 = 2x + 1
Add -1 on both sides on the equation,
16 - 1 = 2x + 1 - 1
15 = 2x
x = 15/2
Thus the given statement is not true.
Hence the first statement is correct whereas the second statement is wrong.
Learn more about algebraic equations here:
brainly.com/question/953809
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