Math 025 Section 6.2 Equations

1
Math 025 Section 6.2
Equations
2
Obj To solve an equation of the form ax b
c
Problem Solve 5x 7 -8
Solution
5x 7 -8
5x -8 7
5x -15
-15
x
5
x -3
3
Obj To solve an equation of the form ax b
c
Problem Solve -3x 7 -5
Solution
-3x 7 -5
-3x -5 7
-3x 2
2
x
-3
23
-
x
4
Obj To solve an equation of the form ax b
c
Problem Solve 8 5x -12
Solution
-5x 8 -12
-5x -12 8
-5x -20
-20
x
-5
x 4
5
Obj To solve an equation of the form ax b
c
Problem Solve 6.2 3.3x -12.94
Solution
-3.3x 6.2 -12.94
-3.3x -12.94 6.2
-3.3x -19.14
-19.14
x
-3.3
x 5.8
6
Be sure to simplify each side before continuing
the solving process.
Problem Solve 2x 4 5x 10
Solution
2x 4 5x 10
Simplify by combining like terms on the left side
-3x 4 10
collect terms
-3x 10 4
-3x 6
divide
6
x
-3
x -2
7
Be sure to simplify each side before continuing
the solving process.
Problem Solve 12x 5 3x 8x -33
Solution
12x 5 3x 8x -33
7x 5 -33
7x -33 5
7x -28
-28
x
7
x - 4
8
Obj To solve an equation of the form ax b
c
Problem Solve 3 x 2 -11
4
3x 4
4
Multiply each term by 4 to get rid of any
fractions
Solution
2 -11
3x 8 -44
3x -44 8
3x -36
-36
x
3
x -12
9
Obj To solve an equation of the form ax b
c
3 4
2 3
1 2
Problem Solve x
3 4
12
2 3
1 2
Solution
x
8x 6 9
8x 9 6
8x 3
3 8
x
10
3 4
4 5
1 2
Problem Solve x
3 4
20
4 5
1 2
Solution
x
16x 10 15
16x 15 10
16x 25
25 16
x