Solve for h.
15.3+1h=1.3-1h
Answers
Answer: -7.5
Step-by-step explanation: 15.3+-7.5=8.8 and 1.3- -7.5=8.8
Step by step solution :
Step 1 :
13
Simplify ——
10
Equation at the end of step 1 :
153 13
(——— + h) - (—— - h) = 0
10 10
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 10 as the denominator :
h h • 10
h = — = ——————
1 10
13 - (h • 10) 13 - 10h
————————————— = ————————
10 10
Equation at the end of step 2 :
153 (13 - 10h)
(——— + h) - —————————— = 0
10 10
Step 3 :
153
Simplify ———
10
Equation at the end of step 3 :
153 (13 - 10h)
(——— + h) - —————————— = 0
10 10
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 10 as the denominator :
h h • 10
h = — = ——————
1 10
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
153 + h • 10 10h + 153
———————————— = —————————
10 10
Equation at the end of step 4 :
(10h + 153) (13 - 10h)
——————————— - —————————— = 0
10 10
Step 5 :
Adding fractions which have a common denominator :
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(10h+153) - ((13-10h)) 20h + 140
—————————————————————— = —————————
10 10
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
20h + 140 = 20 • (h + 7)
Equation at the end of step 6 :
20 • (h + 7)
———————————— = 0
10
Step 7 :
When a fraction equals zero :
7.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
20•(h+7)
———————— • 10 = 0 • 10
10
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
20 • (h+7) = 0
Equations which are never true :
7.2 Solve : 20 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
7.3 Solve : h+7 = 0