Substitute -3 for a and 8 for b in the given equations.

Tell whether each statement is True or False after substituting for a and b.

A. The equation 5x-7(x-1)= ax+b has exactly one solution. T or F

B. The equation 3(x-5)-7=ax+b has no solution. T or F

C. The equation 2-7x+3+4x=ax+b has no solution. T or F

D. The equation -3(x-3)-1=ax+b has infinitely many solutions. T or F

E. The equation -5x+2+2x+4=ax+b has infinitely many solutions. T or F

PLEASE HELP ME!!! ( and thank you so much if you do :P )

2 answers

I will do two of them, you do the rest in the same way
A) if a=-3 and b = 8 , you have
5x-7(x-1)= -3x+8
5x - 7x + 7 = -3x + 8
x = 1 , so it looks like one solution

d) -3(x-3)-1=ax+b
-3(x-3)-1= -3x+8
-3x + 9 - 1 = -3x + 8
0 = 0

If your variables drop out and you end up with a true statement, then you
have an infinite number of solutions
If your variables drop out and you end up with a false statement, then you
have no solution.
Of course if you can solve the equation, like in A), you will have one solution.
thank you so much!! this was super helpful!!