Question

Solve for x in this equation: 2.5x – 6.8% = 12.9

Step 1: Rewrite the absolute value equation as two linear equations:

Negative case:
a) -5.2
b) 7.2
c) 6.5
d) -7.5

Positive case:
a) 5.2
b) -7.2
c) -6.5
d) 7.5

Answer 1

To solve for x, rearrange the equation and isolate x. Convert the percentage to a decimal and add it to the other side of the equation. Divide both sides of the equation by the coefficient of x to find the value of x. The final solution for x is approximately 7.2.

Step-by-step explanation:

To solve for x in the equation 2.5x – 6.8% = 12.9, we first rearrange the equation to isolate x.

The equation becomes 2.5x = 12.9 + 6.8%, and we need to convert the percentage to a decimal.

After adding the decimal values, we have 2.5x = 12.9 + 0.068, and then we can solve for x by dividing both sides of the equation by 2.5.

The final solution for x is approximately 7.2.