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

Answer:

The provided equation has infinite solutions.

Step-by-step 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.