Download Transformations That Produce Equivalent Inequalities

Solving Linear Equations
1. Substitute for either side of the given equation an expression equivalent to it.
2. Add or subtract from each side of the equation the same polynomial in any
variable(s) appearing in the equation.
3. Multiply or divide each side of the given equation by the same nonzero
number
Example #1:
Example #2:
6(t - 2) = 2(9t - 2)
6t – 12 = 18t - 4
6t – 6t -12 = 18t – 6t -4
-12 = 12t – 4
-12 + 4 = 12t
-8 = 12t
-8/12 = t
-2/3 = t
1
2
If A = bh , solve for h.
2A = bh
2A/b = h
Example #3:
If
x
− 5 = b , solve for x.
a
x
−5+5 = b+5
a
x
=b+5
a
x = a(b + 5)
x = ab + 5a