Question

solve each of the following equations
a) 3x-7 = 4 -8x
b) 4x-10 = 5x+7
c) 30+7y = -2y-6
d) 2y-7 = 7y-27
e) 2(x+3) = 8
f) 5(x-7) = -15
g) 7(-2x+4) = -4x
h) 3(2-0.4x) = 18
i) 2(2x-2.2) = 4.6
j) 4(3y+4.1) = 7.6

(linear equations)

Answer 1

Step-by-step explanation:

$3x - 7 = 4 - 8x \\ 3x + 8x = 4 + 7\\ \: \: \: \: \: \: \: \: \: 11x = 11 \\ \: \: \: \: \: \: \: \: \: \: \:\: x= 1$

Answer 2

a) 3x+8x= 4+7.

11x =11

X=11/11

X=1

b) 4x-5x= 7+10

-x=17

X=-17

c)7y+2y=-6-30

9y= -36

y=-36/9

y=-4

d)2y-7y=-27+7

-5y= -20

-y= -20/5

y=4

e)2x+6=8

2x=8-6

2x=2

x=2/2

X=1

f)5x-35=-15

5x=-15+35

5x=20

X=20/5

X=4

g)-14x+28=-4x

-14x+4x=-28

-10x=-28

X=-28/-10

X=7/5

h)6-1.2x=18

-1.2x=18-6

-1.2x=12

X=12/-1.2

x= -1.0