Answer:
The value [tex]c=0[/tex] would create an equation with infinite solutions.
Step-by-step explanation:
For the equation to have infinite solutions The left hand side must be equal to right hand side.
For the equation:
[tex]4c-(-3c-4)=+4[/tex]
Left side must be =4.
[tex]4c-(-3c-4)=4[/tex]
We solve for [tex]c[/tex]
Removing parenthesis by reversing the signs of each term after the negative sign.
[tex]4c+3c+4=4\\[/tex]
Adding like terms.
[tex]7c+4=4[/tex]
Subtracting both sides by [tex]4[/tex]
[tex]7c+4-4=4-4\\7c=0[/tex]
Dividing both sides by [tex]7[/tex]
[tex]\frac{7c}{7}=\frac{0}{7}\\\\\therefore c=0[/tex]
∴ The value [tex]c=0[/tex] would create an equation with infinite solutions.
