Page 53 - SPARK OF MATH book 6

(4-3) Solving Equations.

A solution of an equation is a value of a variable that makes an

equation true.

+4= 9 ( = 5 is the solution of the equation, because 5+4= 9).

To solve an equation like y-3= 5, you must isolate the variable

get the variable by itself on one side of the equation.

The equivalence of the equation should be maintained by performing

inverted operations on each side.

Example: solve n+4 =15

Method 1: use guessing,

what's the value that is added to 4 gets 15?
The value is 11, because 11+4= 15
Method 2: using algebraic solving,

isolate the variable n by subtracting 4 from each side.
n= 15-4= 11
Solve equations using one step.

1 +7= 18 2 -15= 22 3 3y= 6 4 c÷3= 6

Your Work

Solve the equation (2w+1= 9) by guessing, check your answer.

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