Which equations have one solution and which have infinitely many solutions?
Answer:
Step-by-step explanation:
1). [tex]\frac{1}{2}g-4=2g-\frac{1}{2}g+4[/tex]
[tex]\frac{1}{2}g-4=\frac{3}{2}g+4[/tex]
Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.
2). -2.1b + 5.3 = b - 3.1b + 5.3
-2.1b + 5.3 = -2.1b + 5.3
Since left side of the equation is exactly same as right side of the equation.
Equation will have infinitely many solutions.
3). [tex]\frac{3}{4}w+\frac{5}{4}=\frac{10}{4}-\frac{3}{4}w[/tex]
[tex]\frac{3}{4}w+\frac{5}{4}=\frac{5}{2}-\frac{3}{4}w[/tex]
Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.
4). 5.7c - 1.5 + 3.2c = 7.8c - 1.5 + 1.1c
8.9c - 1.5 = 8.9c - 1.5
Left side of the equation is same as right side of the equation.
Therefore, there will be infinitely many solutions of the equation.