Solving a One-Step Linear Equation Problem Type 2


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In this type of problems, we use addition or subtraction operation and multiplication or division operation to move the numbers and get the solution for the one-step equations.

Identify the solutions to the linear equation 4 + 2x = 12

Solution

Step 1:

In this problem, we use subtraction and division operations to move the numbers and get the solution for the equation.

4 + 2x = 12

Step 2:

Subtracting 4 from both sides of the equation

4 + 2x – 4 = 12 – 4

2x = 8

Step 3:

Dividing both sides of the equation with 2 to isolate the variable x.

$\frac{2x}{2}$ = $\frac{8}{2}$ = 4

So x = 4 is the solution

Identify the solutions to the linear equation –5 + (1/3)y = 4

Solution

Step 1:

In this problem, we use addition and multiplication to move the numbers and get the solution for the one-step equation.

–5 +(1/3)y = 4

Step 2:

Adding 5 to both sides of the equation

–5 +(1/3)y + 5 = 4 + 5

(1/3)y = 9

Step 3:

Multiplying both sides of the equation by 3 to isolate the variable y.

$\frac{3y}{3}$ = 9 × 3 = 27

So, y = 27 is the solution.

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