what is the correct way to solve 2k-5=9
pls fast
Answers
Answer:
Changes made to your input should not affect the solution:
(1): "/-9" was replaced by "/(-9)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
2*k-5/(-9)-(5)>0
Step by step solution :
STEP
1
:
5
Simplify ——
-9
Equation at the end of step
1
:
5
(2k - ——) - 5 > 0
-9
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using -9 as the denominator :
2k 2k • -9
2k = —— = ———————
1 -9
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:
2k • 9 - (5 • -1) 18k + 5
————————————————— = ———————
9 9
Equation at the end of step
2
:
(18k + 5)
————————— - 5 > 0
9
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 9 as the denominator :
5 5 • 9
5 = — = —————
1 9
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(18k+5) - (5 • 9) 18k - 40
————————————————— = ————————
9 9
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
18k - 40 = 2 • (9k - 20)
Equation at the end of step
4
:
2 • (9k - 20)
————————————— > 0
9
STEP
5
:
5.1 Multiply both sides by 9
5.2 Divide both sides by 2
5.3 Divide both sides by 9
k-(20/9) > 0
Solve Basic Inequality :
5.4 Add 20/9 to both sides
k > 20/9
Answer:
7
Step-by-step explanation:
2k-5=9
2k=9+5
2k=14
k=14/2
k=7