subtract 0.8 from both sides
divide by 0.6
x = 1.0
Solve the equation. Explain each step and identify the property used to reach each step.
0.6x + 0.8 = 1.4
๐
divide by 0.6
x = 1.0
Step 1: Subtract 0.8 from both sides.
0.6x+0.8โ0.8=1.4โ0.8
0.6x=0.6
Step 2: Divide both sides by 0.6.
0.6x
0.6
=
0.6
0.6
x=1
Answer:
x=1
Step 1: Subtract 0.8 from both sides of the equation to isolate the term with x on one side:
0.6x + 0.8 - 0.8 = 1.4 - 0.8
0.6x = 0.6
Step 2: Divide both sides of the equation by 0.6 to solve for x:
(0.6x) รท 0.6 = 0.6 รท 0.6
x = 1
In the first step, the property used is the Subtraction Property of Equality, which states that subtracting the same value from both sides of an equation does not change the equality.
In the second step, the property used is the Division Property of Equality, which states that dividing both sides of an equation by the same non-zero value preserves equality.
Thus, the solution to the equation 0.6x + 0.8 = 1.4 is x = 1.