Download Solving Multi-Step Equations (2-3 and 2-4)

Solving Multi-Step Equations
(2-3 and 2-4)
*All like terms must be combined!
Ex) 19 – x – x + 7 = - 12
(19 + 7) + (-x + -x) = -12
26 + -2x = -12
-26
-26
−2𝑥
−2
=
−38
−2
1st: combine like terms
2nd: Use inverse operations to isolate
the variable
x = 19
You Try:
-23 = -2a – 10 + a
and
n + 5(n – 1) = 7
Solving Equations with variables on both sides
5x + 2 = 2x + 14
-2
-2
5x = 2x +12
-2x -2x
3x = 12
÷3 ÷3
x = 4
1st: Use Inverse Operations to
move a term to the other side of
the equals sign to combine like
terms.
2nd: Use inverse operations to
solve for the variable.
An equation that is true for EVERY possible
value of the variable is an Identity
10x + 12 = 2(5x + 6)
10x + 12 = 10x + 12
*both sides of the equation sign are exactly the same
So ANY value of x would work
An equation that has two unequal quantities
has NO SOLUTION
9m – 4 = -3m + 5 + 12m
9m – 4 = 9m + 5
-9m
-9m
-4 ≠ 5
You try:
4p + 2 = 3p -7
2(5x – 1) = 3(x + 11)
2x + 7 = -1(3 – 2x)