Question

#1 choose the number that would create an equation with infinite solutions.

a.)
4c-(-3c-4)=+4

Answer 1

The value
`c=0` would create an equation with infinite solutions.

Explanation:

For the equation to have infinite solutions The left hand side must be equal to right hand side.

For the equation:

`4c-(-3c-4)=+4`

Left side must be =4.

`4c-(-3c-4)=4`

We solve for
`c`

Removing parenthesis by reversing the signs of each term after the negative sign.

`4c+3c+4=4\\`

Adding like terms.

`7c+4=4`

Subtracting both sides by
`4`

`7c+4-4=4-4\\7c=0`

Dividing both sides by
`7`

`(7c)/(7)=(0)/(7)\\\\\therefore c=0`

∴ The value
`c=0` would create an equation with infinite solutions.