Question

Solve the following equations:

(a) 5x - 11 = 3x + 9

(b) 3y + 4 = 7 - 2y

(c) 9 - 2(x - 5) = x + 10

(d) 5(y - 1) = 3(2y - 5) - (1 - 3y)

(e) 2(x - 1) - 6x = 10 - 2(x - 4)
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Answer 1

Answer:

( a) x = 10

Step-by-step explanation:

5x- 11 = 3x + 9

5x - 3x = 9 + 11

2x = 20

x = 20 ÷ 2

x = 10

(b) 3y + 4 = 7- 2y

3y +2y = 7- 4

5y = 3

y = 3 ÷ 5

Answer 2

Answer:

(a) x = 10

(b) y = 3/5 or 0.6

(c) x = 9

(d) y = 11/4 or 2.75

(e) x = -10

Step-by-step explanation:

(a) 5x-11 = 3x+9

5x-3x = 11+9

2x = 20

x = 20/2

x = 10

(b) 3y+4 = 7-2y

3y+2y = 7-4

5y = 3

y = 3/5 or 0.6

(c) 9-2(x-5) = x+10

9-2x+10 = x+10

2x+1 = x+10

2x-x = 10-1

x = 9

(d) 5(y-1) = 3(2y-5)-(1-3y)

5y-5 = 6y-15-1+3y

5y-5 = 9y-16

5y-9y = 5-16

-4y = -11

y = -11/-4

y = 11/4 or 2.75

(e) 2(x-1)-6x = 10-2(x-4)

2x-2-6x = 10-2x+8

-4x-2 = 18-2x

-4x+2x = 18+2

-2x = 20

x = 20/-2

x = -10

hope this helps you....

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