## Infinitely Many Solutions Equation

When an equation has infinitely many equations, it means that if the variable in an equation was subsituted by a number, the equation would be correct or true, no matter what number/ value is subsituted.

## Infinitely Many Solutions Equation Example 1 2(8+6x)+2=4(4+3x)+2x
Step1: Distributive Property 2(8)+2(6x)=4(4)+4(3x)+2x Step 2: Collect Like Terms 16+{12x+2x}=16+{12x+2x} Step 3: Finish Problem 16+14x=16+14x 30x=30x (same on each side) Infinitely Many Solutions |
## Infinitely Many Solutions Equation Example 2 3(4+2x)+5x=2(6+5x)+x
Step 1: Distributive Property 3(4)+3(2x)+5x=2(6)+2(5x)+x Step 2: Collect Like Terms 12+{6x+5x}=12+{10x+x} Step 3: Finish Problem 12+11x=12+11x 23x=23x (same on both sides) Infinitely Many Solutions |