Question

Need help please and thanks​

Answer 1

2. n = 11

4. g = -2

6. t = 21

8. n = 4

10. y = -1

Explanation:

2. 63 = -3(1 - 2n)

Dividing both the side by negative 3 we get

`-21=1-2n\\2n=1+21\\2n=22\\n=(22)/(2) \\\therefore n=11`

4. -g + 2(3 + g) = -4(g + 1)

First we will open the bracket by distributive property A( B +C) = AB + AC

`-g+2* 3 + 2* g = -4* g + -4* 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=(-10)/(5)\\\therefore g=-2`

6.-3(t +5 ) + (4t + 2) = 8

Using distributive property A( B +C) = AB + AC we get

`-3* t + -3* 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\`

8. -8 - n = -3(2n -4)

Using distributive property A( B +C) = AB + AC we get

`-8 - n = -3* 2n - -3*4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=(20)/(5)\\ \therefore n= 4`

10. -4( 2 - y) + 3y = 3(y - 4)

Using distributive property A( B +C) = AB + AC we get

`-4* 2 --4* y + 3y = 3* y -3* 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=(-4)/(4)\\ \therefore y=-1`