Solving by Combining Like Terms
Solving by Using the Distributive Property
Equations with Rational Coefficients
Equation Grab Bag
One Solution, No Sol, Inf Sols
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
(x)/(7)-6=5
x=77
100
4x + 9 = 33
x = 6
100
4x+3=-4x+3
one solution
200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
5-(4)/5x=-2
x=(35)/4
200
x = 0
200
-3+x=x-3
infinitely many sol
300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
(3)/(2)x+10=-7
x=(-34)/3
300
4(y - 2) + y = -13
y = -1
300
2(x-7)=2x-7
no solution
400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
(-4)/5x+9=3
x=(15)/2
400
(m+1)/(8)=-5
m = -41
400
5(2x-3)=15-10x
one solution
500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
0.1x+0.5= -0.02
x= -5.2
or x=
(-26)/5
500
no solution
500
(2)/(3)x-4=(2x-12)/3
infinitely many solutions