The statement that are true about the solution to the equation when substituting values for a and b as specified are;
- A. If a=−3 and b=4 , then there is exactly one solution to the equation.
- C. If a=9 and b=−2 , then there is no solution to the equation.
Which statements are true about the solution to the equation when substituting values for a and b as specified?
3(3x + 4) - 5 = ax + b
9x + 12 - 5 = ax + b
9x + 7 = ax + b
9x - ax = b - 7
x(9 - a) = b - 7
Check all options:
A. If a=−3 and b=4 , then there is exactly one solution to the equation.
x(9 - a) = b - 7
x(9 - -3) = 4 - 7
x(9+3) = -3
x(12) = -3
x = -3/12
x = -1/4
True
B. If a=−9 and b=13 , then there is no solution to the equation.
x(9 - a) = b - 7
x(9- -9) = 13 - 7
x(9+9) = 6
x(18) = 6
x = 6/18
x = 1/3
False
C. If a=9 and b=−2 , then there is no solution to the equation.
x(9 - a) = b - 7
x(9 - 9) = -2 - 7
x(0) = -9
x = -9/0
True
D. If a=−3 and b=−5 , then there are infinitely many solutions to the equation.
x(9 - a) = b - 7
x(9 - -3) = -5 - 7
x(9 + 3) = -12
x(12) = -12
x = -12/12
x = -1
False
Complete question:
3(3x + 4) - 5 = ax + b
Which statements are true about the solution to the equation when substituting values for a and b as specified?
Select all that apply.
A. If a=−3 and b=4 , then there is exactly one solution to the equation.
B. If a=−9 and b=13 , then there is no solution to the equation.
C. If a=9 and b=−2 , then there is no solution to the equation.
D. If a=−3 and b=−5 , then there are infinitely many solutions to the equation.