Respuesta :
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.
Is the equations a true statement?
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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