Solution - Linear equations with one unknown
Step by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*t-18-(4*(-3-3/4*t))=0
Step by step solution :
Step 1 :
3
Simplify —
4
Equation at the end of step 1 :
3
(3t - 18) - (4 • (-3 - (— • t))) = 0
4
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
-3 -3 • 4
-3 = —— = ——————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-3 • 4 - (3t) -3t - 12
————————————— = ————————
4 4
Equation at the end of step 2 :
(-3t - 12)
(3t - 18) - (4 • ——————————) = 0
4
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-3t - 12 = -3 • (t + 4)
Equation at the end of step 4 :
(3t - 18) - -3 • (t + 4) = 0
Step 5 :
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
6t - 6 = 6 • (t - 1)
Equation at the end of step 6 :
6 • (t - 1) = 0
Step 7 :
Equations which are never true :
7.1 Solve : 6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
7.2 Solve : t-1 = 0
Add 1 to both sides of the equation :
t = 1