To answer this item, we combine all terms involving the variable z to only one side of the equation. All else will be placed on the other side of the equation. This is as follows,
-cz + 6z = tz + 83
Transposing,
-cz - tz + 6z = 83
Factoring z out,
z(-c - t + 6) = 83
Dividing the equation such that z will be left on one side of the equation,
<em> z = 83 / (-c - t + 6)</em>
Undefined terms; assumptions (postulates); definitions; theorems
<h3><u>The x intercept is at (-7, 0).</u></h3><h3><u>The y intercept is at (0, 1).</u></h3>
To find both the x and the y intercept, we need to solve one at a time.
For the x intercept, we need to make the value of y equal to 0, and solve for x.
-x + 7y = 7
-x + 7(0) = 7
-x = 7
Multiply both sides by -1.
x = -7
The x intercept is -7.
Now for the y intercept.
-(0) + 7y = 7
7y = 7
Divide both sides by 1.
y = 1
The y intercept is at 0, 1.
