Examples with solutions for Solving Equations by using Addition/ Subtraction: Using order of arithmetic operations

Exercise #1

92x×224 ⁣:4=64 92-x\times2-24\colon4=64

Calculate X.

Video Solution

Step-by-Step Solution

First, we solve the multiplication and division exercises, we will put them in parentheses to avoid confusion:

92(x×2)(24 ⁣:4)=64 92-(x\times2)-(24\colon4)=64

922x6=64 92-2x-6=64

Reduce:

862x=64 86-2x=64

Move the sides:

2x=6486 -2x=64-86

2x=22 -2x=-22

Divide by negative 2:

x=222 x=\frac{-22}{-2}

x=11 x=11

Answer

11

Exercise #2

Solve the equation and find Y:

20×y+8×27=14 20\times y+8\times2-7=14

Video Solution

Step-by-Step Solution

We begin by placing parentheses around the two multiplication exercises:

(20×y)+(8×2)7=14 (20\times y)+(8\times2)-7=14

We then solve the exercises within the parentheses:

20y+167=14 20y+16-7=14

We simplify:

20y+9=14 20y+9=14

We move the sections:

20y=149 20y=14-9

20y=5 20y=5

We divide by 20:

y=520 y=\frac{5}{20}

y=55×4 y=\frac{5}{5\times4}

We simplify:

y=14 y=\frac{1}{4}

Answer

14 \frac{1}{4}

More Questions

Solving an Equation by Multiplication/ Division