Factorise: 3y-1/2=5/2+y
Answers
Answer:
Step-by-step explanation:
3y-1/2=5+2y/2
3y-1=5+2y
3y-2y=5+1
y=6
Answer:
Step 1 :
5
Simplify —
2
Equation at the end of step 1 :
1 5
(3y - —) - (— + y) = 0
2 2
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator :
y y • 2
y = — = —————
1 2
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:
5 + y • 2 2y + 5
————————— = ——————
2 2
Equation at the end of step 2 :
1 (2y + 5)
(3y - —) - ———————— = 0
2 2
Step 3 :
1
Simplify —
2
Equation at the end of step 3 :
1 (2y + 5)
(3y - —) - ———————— = 0
2 2
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
3y 3y • 2
3y = —— = ——————
1 2
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
3y • 2 - (1) 6y - 1
———————————— = ——————
2 2
Equation at the end of step 4 :
(6y - 1) (2y + 5)
———————— - ———————— = 0
2 2
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:
(6y-1) - ((2y+5)) 4y - 6
———————— = ——————
2 2
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
4y - 6 = 2 • (2y - 3)
Equation at the end of step 6 :
2y - 3 = 0
Step 7 :
Solving a Single Variable Equation :
7.1 Solve : 2y-3 = 0
Add 3 to both sides of the equation :
2y = 3
Divide both sides of the equation by 2:
y = 3/2 = 1.500
One solution was found :
y = 3/2 = 1.500
Mark me as brainliest........................