Which equations have infinitely many solutions? Select TWO that apply.
A. 6( x - 9 ) = 6x - 54 + x
B. 5(x - 8) + 10 = 5(x + 2)
C. 20 - 8x - 6 = 2(7 - 4x)
D. 4(x + 4) = 2 (2x + 5) + 6
E. 2x + 9 = 18 + 2x
Which equations have infinitely many solutions? Select TWO that apply.
A. 6( x - 9 ) = 6x - 54 + x
B. 5(x - 8) + 10 = 5(x + 2)
C. 20 - 8x - 6 = 2(7 - 4x)
D. 4(x + 4) = 2 (2x + 5) + 6
E. 2x + 9 = 18 + 2x
2 answers
The correct answer is A and E.
A. 6( x - 9 ) = 6x - 54 + x can be simplified to 6x - 54 = 6x - 54, which means that both sides of the equation are equal, and any value of x would satisfy the equation. Therefore, it has infinitely many solutions.
E. 2x + 9 = 18 + 2x can also be simplified to 2x + 9 = 2x + 18, which means that both sides of the equation are equal, and any value of x would satisfy the equation. Therefore, it also has infinitely many solutions.
A. 6( x - 9 ) = 6x - 54 + x can be simplified to 6x - 54 = 6x - 54, which means that both sides of the equation are equal, and any value of x would satisfy the equation. Therefore, it has infinitely many solutions.
E. 2x + 9 = 18 + 2x can also be simplified to 2x + 9 = 2x + 18, which means that both sides of the equation are equal, and any value of x would satisfy the equation. Therefore, it also has infinitely many solutions.