We will use linear equation-solving techniques (system of linear equations) to solve the equation 15=3x−6 and find the value of x−4.
Solving for x:
First, we will isolate x on one side of the equation:
Starting with 15=3x−6, we add 6 to both sides to remove the -6 from the right side:
15+6=3x−6+6
Simplifying both sides gives:
21=3x
Next, we divide both sides by 3 to isolate x
21/3=3x/3
Simplifying, we find:
7=x
Finding the Value of x−4:
Now that we know x=7, we substitute this value into
x−4=7−4
Simplifying gives:
x=3
So, when 15=3x−6, the value of x−4 is 3.