Combining Like Terms
0.4x
3x+15=4x+12. Solve for x.
x=3
3x*5x-9=15x-9 What is the Solution?
Infinitely Many Solutions
4x+3=x+2(x+7). Solve for x.
x=11.
2x+4>24. Solve for x.
x=10
0.8n+0.6n=42. Solve for n.
n=30
4x+6=2.5x+12. Solve for x.
x=4
Definition of One Solution
If we can solve the equation and get something like x=b where b is a specific number
-5(x-2)=-25. Solve for x.
x=7
-7x+7<-56. Solve for x.
x=9
-3.5-6.2y=-87.3. Solve for y.
y=9
0.05x+925=0.03+1250. Solve for x.
x=16.250
Definition of No Solution
There is no value for the variable that makes the equation true.
3-(x-3)=25. Solve for x.
x=-19
m/3-3<-6
m<-6
-0.25d+0.4d=39. Solve for d.
d=60
550-25x=10+15+20x. Solve for x.
x=9
Definition of Infinitely Many Solutions
Any value for the variable makes the equation true.
0.25(x+3)=0.5(x+2). Solve for x.
x=-1
80>10-9/3x. Solve for x.
x=2100/9
-9.76d-(-12.81d)=8.54. Solve for d.
d=2.8
150-x-2x=120+2x. Solve for x.
x=10
3x+1.5=2.5x+4.7 What type of Solution?
One Solution
7(5+2x)+x=65
x=2
14+3.15p<25.97. Solve for p.
p=3.8