Question

Identifying Isolated Variable Terms: Which equations have the variable term isolated to one side of the equals sign, and the constant isolated to the other side, for the equation 5x+21​x=0?

A) 5x=−21​x
B) 0=35
C) 21​x=−35
D) 310​x+10=3
E) 7x=0

Answer 1

The equations that have the variable term isolated on one side and the constant term isolated on the other side for the equation 5x + 21x = 0 are C) 21x = -35 and E) 7x = 0.

Step-by-step explanation:

The equation 5x + 21x = 0 can be rearranged to isolate the variable term on one side and the constant term on the other side. Let's go through each option:

A) 5x = -21x: This equation does not have the variable term isolated on one side and the constant term on the other side. The variable is on both sides of the equals sign.

B) 0 = 35: This equation does not have the variable term isolated on one side and the constant term on the other side. The constant term is on both sides of the equals sign.

C) 21x = -35: This equation does have the variable term isolated on one side and the constant term isolated on the other side. The variable term is 21x and the constant term is -35.

D) 3(10x + 10) = 3: This equation does not have the variable term isolated on one side and the constant term on the other side. The constant term is still within the parentheses.

E) 7x = 0: This equation does have the variable term isolated on one side and the constant term isolated on the other side. The variable term is 7x and the constant term is 0.

Therefore, the equations that have the variable term isolated on one side and the constant term isolated on the other side are C) 21x = -35 and E) 7x = 0.