Question

Solve the following equations by transposing the terms and check your results.
(i) 2+y =7
(ii) 2a-3 = 5
(iii) 10-q =6
(iv) 2t-5 = 3
(v) 14 = 27-x
(vi) 5 (X+4) = 35
(vii) -3x = 15
(viii) 5x-3 = 3x-5
(ix) 3y+4 = 5y-4
(x) 3 (x-3) = 5 (2x+1)​

Answer 1

Answer:

I) 2+y=7

y=7-2

y=5

ii)2a-3=5

2a=5+3

2a=8

a=8/2

a=4

Answer 2

Answer:

(i) 2+y=7

y=7-2

y=5

(ii)2a-3=5

2a=5+3

2a=8

a=8/2

a=4

(iii)10-q=6

-q=6-10

-q=-4

q=4

(iv)2t-5=3

2t=3+5

2t=8

t=8/2

t=4

(v)14=27-x

14-27=-x

-13=-x

13=x

x=13

(vi)5(X+4)=35

5X+20=35

5X=35-20

5X=15

X=15/5

X=3

(vii)-3x=15

x=15/-3

x=-5

(viii) 5x-3 = 3x-5

5x-3x=-5+3

2x=-2

x=-2/2

x=-1

(ix)3y+4 = 5y-4

3y-5y=-4-4

-2y=8

y=8/-2

y=-4

(x)3 (x-3) = 5 (2x+1)

3x-9=10x+5

3x-10x=5+9

-7x=14

x=14/-7

x=-2

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