Match the description of the one variable equation with the number of solutions it will have.
ax+c1=bx+c2
The number of x's on both sides of the equation is different a≠b
The number of x's is the same on both sides of the equation, and the constant is different a=b, c1≠c2
The number of x's is the same on both sides of the equation and the constant is also the same a=b, c1=c2
No solution
One solution
Two solutions
Three solutions
Infinite solutions
No solution
The number of solutions for each description would be:
- The number of x's on both sides of the equation is different (a≠b): One solution
- The number of x's is the same on both sides of the equation, and the constant is different (a=b, c1≠c2): No solution
- The number of x's is the same on both sides of the equation and the constant is also the same (a=b, c1=c2): Infinite solutions