Solve the equation. Explain each step and identify the property usedbto reach each step.
0.6x + 0.8 = 1.4
subtract .8 from each side
.6x=.6
divide each side by .6
x=1
thx
What property was used though???
To solve the equation 0.6x + 0.8 = 1.4, we need to isolate the variable x.
Step 1: Simplify both sides of the equation.
0.6x + 0.8 = 1.4
Step 2: Subtract 0.8 from both sides of the equation.
0.6x = 1.4 - 0.8
In this step, we used the subtraction property of equality which states that if you subtract the same number from both sides of an equation, the equality remains unchanged.
Simplifying the right side gives:
0.6x = 0.6
Step 3: Divide both sides of the equation by 0.6.
(0.6x)/0.6 = 0.6/0.6
In this step, we used the division property of equality which states that if you divide both sides of an equation by the same non-zero number, the equality is preserved.
Simplifying both sides, we get:
x = 1
So, the solution to the equation 0.6x + 0.8 = 1.4 is x = 1.
To summarize:
Step 1: The equation is simplified.
Step 2: 0.8 is subtracted from both sides.
Step 3: The equation is divided by 0.6.