Question

a 7x = 91
b 15n = - 30
c 3y = 42
d - 9t = 36
e - 12s = - 120
f 6m = - 42
g 1/2x = 13
h x/5 = - 2
i - 1/3x = - 15
j 3/4y = 6
k - 2/3v = 14
l - 9/8y = - 27
m - 8k = 248
n 3/10m = 15
o - 11t = - 132
p - 5/3x = 20
q 15x = - 225
r - 3/2u = - 3
s 48 = 16x
t - 45 = 9/5x
u 360 = - 18n
v - 3z = 72
w 15 = 5/6x
x - 12/7y = - 36

Explanation:

Step1: Isolate the variable

For an equation of the form $ax = b$ (where $a$ and $b$ are constants and $a
eq0$), we solve for $x$ by dividing both sides of the equation by $a$, i.e., $x=\frac{b}{a}$.
For example, for equation A: $7x = 91$, then $x=\frac{91}{7}=13$.
For equation B: $15n=-30$, then $n = \frac{-30}{15}=-2$.
For equation C: $3y = 42$, then $y=\frac{42}{3}=14$.
For equation D: $-9t = 36$, then $t=\frac{36}{-9}=-4$.
For equation E: $-12s=-120$, then $s=\frac{-120}{-12}=10$.
For equation F: $6m=-42$, then $m=\frac{-42}{6}=-7$.
For equation G: $\frac{1}{2}x = 13$, then $x=13\times2 = 26$.
For equation H: $\frac{x}{5}=-2$, then $x=-2\times5=-10$.
For equation I: $\frac{-1}{3}x=-15$, then $x=-15\times(-3)=45$.
For equation J: $\frac{3}{4}y = 6$, then $y=6\times\frac{4}{3}=8$.
For equation K: $\frac{-2}{3}v = 14$, then $v=14\times\frac{-3}{2}=-21$.
For equation L: $\frac{-9}{8}y=-27$, then $y=-27\times\frac{-8}{9}=24$.
For equation M: $-8k = 248$, then $k=\frac{248}{-8}=-31$.
For equation N: $\frac{3}{10}m = 15$, then $m=15\times\frac{10}{3}=50$.
For equation O: $-11t=-132$, then $t=\frac{-132}{-11}=12$.
For equation P: $\frac{-5}{3}x = 20$, then $x=20\times\frac{-3}{5}=-12$.
For equation Q: $15x=-225$, then $x=\frac{-225}{15}=-15$.
For equation R: $\frac{-3}{2}u=-3$, then $u=-3\times\frac{-2}{3}=2$.
For equation S: $48 = 16x$, then $x=\frac{48}{16}=3$.
For equation T: $-45=\frac{9}{5}x$, then $x=-45\times\frac{5}{9}=-25$.
For equation U: $360=-18n$, then $n=\frac{360}{-18}=-20$.
For equation V: $-3z = 72$, then $z=\frac{72}{-3}=-24$.
For equation W: $15=\frac{5}{6}x$, then $x=15\times\frac{6}{5}=18$.
For equation X: $\frac{-12}{7}y=-36$, then $y=-36\times\frac{-7}{12}=21$.

Answer:

A. $x = 13$
B. $n=-2$
C. $y = 14$
D. $t=-4$
E. $s = 10$
F. $m=-7$
G. $x = 26$
H. $x=-10$
I. $x = 45$
J. $y = 8$
K. $v=-21$
L. $y = 24$
M. $k=-31$
N. $m = 50$
O. $t = 12$
P. $x=-12$
Q. $x=-15$
R. $u = 2$
S. $x = 3$
T. $x=-25$
U. $n=-20$
V. $z=-24$
W. $x = 18$
X. $y = 21$