What is the solution to the equation 1.26(x - 7.352) = 6.426 when solving for z?

Answer 1

To solve 1.26(x - 7.352) = 6.426 for z, we need to find the value of x and substitute it into the equation.

First, distribute 1.26 to the terms inside the parentheses:

1.26x - (1.26)(7.352) = 6.426

Next, simplify the expression inside the parentheses:

1.26x - 9.253 = 6.426

Add 9.253 to both sides of the equation to isolate the variable x:

1.26x = 6.426 + 9.253
1.26x = 15.679

Now, divide both sides of the equation by 1.26 to solve for x:

x = 15.679 / 1.26
x = 12.41

Finally, substitute the value of x into the equation to solve for z:

z = 1.26(x - 7.352)
z = 1.26(12.41 - 7.352)
z = 1.26(5.058)
z = 6.36948

Therefore, the solution to the equation 1.26(x - 7.352) = 6.426 when solving for z is z = 6.36948 (rounded to five decimal places).