Solve the equation. Explain each step and identify the property used to reach each step.
0.6x + 0.8 = 1.4
0.6x + 0.8 = 1.4
0.6x + 0.8 - 0.8 = 1.4 - 0.8
0.6x = 0.6
0.6x/0.6 = 0.6/0.6
x = 1
I'll let you name the properties -- this will come up again and again, and you need to know them all cold.
tysm
To solve the equation 0.6x + 0.8 = 1.4, we will isolate the variable x.
Step 1: Start by subtracting 0.8 from both sides of the equation to get rid of the constant term on the left side:
0.6x + 0.8 - 0.8 = 1.4 - 0.8
Simplifying this gives us:
0.6x = 0.6
The property used here is the Subtraction Property of Equality, which states that if we subtract the same value from both sides of an equation, the equality is still preserved.
Step 2: To further isolate x, we need to divide both sides of the equation by 0.6:
(0.6x) / 0.6 = 0.6 / 0.6
Simplifying this gives us:
x = 1
The property used here is the Division Property of Equality, which states that if we divide both sides of an equation by the same non-zero number, the equality is still preserved.
Therefore, the solution to the equation 0.6x + 0.8 = 1.4 is x = 1.