Pls answer fast with EXPLANATION i will surely mark as brainliast and thanks.
Answers
Step-by-step explanation:
a) 2y + 5/2 = 37/2
2y = 37/2 - 5/2 ( like term on the same side, also the sign changes when you change side)
2y = 32/2 ( we can subtract directly as the denominator are same)
2y = 16 (simplifying the right side)
y = 16/2 (2 becomes denominator when the side changes)
y = 8
Note: If there are more than one term, while changing sides of the term then, only the sign changes.
If only one term is there and the number or coefficient is taken to the other side then the sign remains same, the number is changing the place in term of numerator and denominator as you have seen in the first sum.
b) 5t + 28 = 10
5t = 10 - 28 (sign changes as there are two terms)
5t = -18 (subtract normally the greater number with the small and put the sign of the greater number)
t = -18/5 (only one term so the sign is same and the position change to denominator)
c) a/5 + 3 = 2
a/5 = 2 - 3 (sign changes as there are two terms)
a/5 = -1
a = -1 x 5 (only one term so the sign is same and the position change to numerator)
a = -5 (multiply normally, when two opposite sign, then put negative sign in answer)
d) q/4 + 7 = 5 (solve in the same way as the above sum)
q/4 = 5 - 7
q/4 = -2
q = -2 x 4
q = -8
e) 5/2x = -10
x = - 10 X 2/5 (only one term so the sign is same and the position change to numerator and denominator, accordingly also known as reciprocal)
x = -20/5
x = -4 (simplifying by cancellation)
f) 5/2 x = 25/4
x = 25/4 X 2/5 (reciprocal)
x = 50/20 ( multiplying)
x = 5/2 ( simplifying and cancelling)
g) 7m + 19/2 = 13
7m = 13 - 19/2 (sign changes as there are two terms)
7m = 26/2 - 19/2 ( LCM of the denominator)
7m = 7/2
m = 7/2 x 1/7 ( reciprocal)
m = 7/14 = 1/2 (simplifying)
m = 1/2
h) 6z + 10 = -2
6z = -2 - 10
6z = -12
z = -12/6
z = -2 (simplifying )
i) 3/2 l =2/3
l = 2/3 X 2/3 (reciprocal)
l = 4/9
j) 2/3 b -5 = 3
2/3 b = 3 +5
2/3 b = 8
b = 8 X 3/2 (reciprocal)
b = 24 /2
b = 12
I hope it helps.