Question

Does −4x−7+10x=−7+6x have one solution, infinite solutions, or no solution

Answer 1

−4x −7 + 10x = −7+6x
6x - 7 = 6x - 7
0 = 0

answer
infinite solutions

Answer 2

The provided equation has infinite solutions.

Explanation:

Consider the provided equation.

`-4x-7+10x=-7+6x`

The above equation can be written as:

`-4x+10x-7=-7+6x`

Add the like terms.

`6x-7=-7+6x`

This can be written as:

`6x-7=6x-7`

Here, we can see that left side is same as the right side.

For any value x the left and right side will be same.

Check:

Substitute x=1

`6(1)-7=6(1)-7`

`6-7=6-7`

`-1=-1`

Substitute x=2

`6(2)-7=6(2)-7`

`12-7=12-7`

`5=5`

Hence, the provided equation has infinite solutions.