Complete the equation so that it has infinite solutions.(1 point)4x+10= x+

Answer 1

To have infinite solutions, the equation should be an identity. We can do this by making the coefficients of x on both sides equal.

4x + 10 = x + 10x

Combine like terms:

4x + 10 = 11x

Subtract 4x from both sides:

10 = 7x

Divide both sides by 7:

10/7 = x

Therefore, the equation with infinite solutions is:

4x + 10 = x + 10x is when x = 10/7.

Answer 2

Complete the equation so that it has no solution.(1 point)5x+12= x+9

Answer 3

To have no solution, the equation should be contradictory or inconsistent. We can do this by eliminating the variables or making the coefficients of x on both sides different.

To make the coefficients different, let's subtract x from both sides:

5x + 12 - x = x - x + 9

Combine like terms:

4x + 12 = 9

Subtract 12 from both sides:

4x = 9 - 12

4x = -3

Divide both sides by 4:

x = -3/4

Therefore, the equation with no solution is:

5x + 12 = x + 9 when x = -3/4.

Answer 4

Solve for x to determine if the equation has one, none, or infinite solutions.6(2x+4)−24=12x (1 point)ResponsesThe equation has one solution: x=0.The equation has one solution: x equals 0 .The equation has infinite solutions.The equation has infinite solutions.The equation has one solution: x=−20.The equation has one solution: x equals negative 20 .The equation has no solution.

Answer 5

To solve the equation 6(2x+4) - 24 = 12x, let's simplify and collect like terms:

12x + 24 - 24 = 12x
12x = 12x

The equation simplifies to 12x = 12x. Notice that the variable "x" appears on both sides of the equation.

This means that any value of x will satisfy the equation. Therefore, the equation has infinite solutions.