Question

Solve the equations

Answer 1

Step-by-step explanation:

(1) 2m-3 = 1

2m =4

so, m= 2

(2)11= 5y+6

11-6= 5y

5y=5

so, y= 1

(3). 6-m= 5m-4m

6-m= m

6= 2m

so, m= 3

(4). y-10= 7y-4y

y-10= 3y

-10= 3y-y

-10=2y

so , y= (-5)

(5). 8+3p=2(p+3)

8+3p= 2p+6

3p-2p= 6-8

so, p= (-2)

(6). 14-6x= 7x+53

14-53= 7x+6x

13x=(-39)

so, x= (-3)

(7). 3(n+1)= 13-2n

3n+3= 13-2n

5n = 10

so, n= 2

(8). 4(w+2)=5(w+1)+w-1

4w+8= 5w+5+w-1

4w+8= 6w+4

8-4= 6w-4w

2w= 4

so, w= 2

Answer 2

i) 14-6x = 7x+53

-6x-7x = 53-14

x = $\frac{ - 39}{13}$

x = -3

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j) 3(n+1) = 13-2n

3n+2n = 13-3

5n = 10

n = $\frac{10}{5}$

n = 2

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k) 4(w+2) = 5(w+1) + w-1

4w+8 = 5w+5+w-1

4w+8 = 6w+4

8-4 = 6w-4w

4 = 2w

w = $\frac{4}{2}$

w = 2