Question

1)-10y-64=-6y 2)9m-8=6m+7 3)6x+10=5x+15 4)16m-5=15m-10 5) 8-5n+10-4n 6)18=3y+3 7)40-12=20-11x 8)-5n-16=3n 9)25=5y-5 10)25-9y=5y+11 11)63-8n=n 12)28-9m=-8 -10m 13)4y+7=5y+4 14)56-9n= -5n 15)10-11n=15-12n 16)35-11m=3m+21 17)15-8x+2-9x 18)-9z+32=7z 19)10-9y=70-6y 20)10z+7=9z+5 21)25-12m=45-8m 22)-9x-56=5x 23)17-8y=4y-7 23)5y+15=4y+20.

Answer 1

1. -10y-64=-6y; -10y+6y=64; -4y=64; y=64/(-4)=-16;
2. 9m-8=6m+7; 9m-6m=8+7; 3m=15; m=15/3=5;
3. 6x+10=5x+15; 6x-5x=15-10; x=5;
4. 16m-5=15m-10; 16m-15m=5-10; m=-5;
5. 8-5n=10-4n; 4n-5n=10-8; -n=2; n=-2;
6. 18=3y+3; 18-3=3y; 15=3y; y=15/3=5;
7. 40-12x=20-11x; 40-20=12x-11x; x=20;
8. -5n-16=3n; 3n+5n=-16; 8n=-16; n=-16/8=-2;
9. 25=5y-5; 5y=25+5; 5y=30; y=30/5=6;
10. 25-9y=5y+11; 25-11=5y+9y; 14=14y; y=14/14=1;
11. 63-8n=n; 63=n+8n; 9n=63; n=63/9=9;
12. 28-9m=-8-10m; 28+8=9m-10m; 36=-m; m=-36;
13. 4y+7=5y+4; 4y-5y=4-7; -y=-3; y=3;
14. 56-9n=-5n; 56=9n-5n; 56=4n; n=56/4=14

Answer 2

Sure! I'll go through each equation and provide a detailed solution:

1) -10y - 64 = -6y + 2

To solve this equation, we can start by combining like terms. Add 6y to both sides of the equation:

-10y + 6y - 64 = -6y + 6y + 2

Simplifying the equation gives us:

-4y - 64 = 2

Next, isolate the variable by adding 64 to both sides of the equation:

-4y - 64 + 64 = 2 + 64

Simplifying further:

-4y = 66

Finally, divide both sides of the equation by -4 to solve for y:

y = 66 / -4

Simplifying the fraction gives us:

y = -33/2

2) 9m - 8 = 6m + 7

Start by subtracting 6m from both sides of the equation:

9m - 6m - 8 = 6m - 6m + 7

Simplifying the equation:

3m - 8 = 7

Next, add 8 to both sides of the equation:

3m - 8 + 8 = 7 + 8

Simplifying further:

3m = 15

Finally, divide both sides of the equation by 3 to solve for m:

m = 15 / 3

Simplifying the fraction gives us:

m = 5

3) 6x + 10 = 5x + 15

Subtract 5x from both sides of the equation:

6x - 5x + 10 = 5x - 5x + 15

Simplifying the equation:

x + 10 = 15

Next, subtract 10 from both sides of the equation:

x + 10 - 10 = 15 - 10

Simplifying further:

x = 5

x = 5

4) 16m - 5 = 15m - 10

Subtract 15m from both sides of the equation:

16m - 15m - 5 = 15m - 15m - 10

Simplifying the equation:

m - 5 = -10

Next, add 5 to both sides of the equation:

m - 5 + 5 = -10 + 5

Simplifying further:

m = -5

m = -5

5) 8 - 5n + 10 - 4n = 18

Combine like terms:

8 + 10 - 5n - 4n = 18

Simplifying the equation:

18 - 9n = 18

Subtract 18 from both sides of the equation:

18 - 9n - 18 = 18 - 18

Simplifying further:

-9n = 0

Finally, divide both sides of the equation by -9 to solve for n:

n = 0 / -9

Simplifying the fraction gives us:

n = 0

6) 18 = 3y + 3

Subtract 3 from both sides of the equation:

18 - 3 = 3y + 3 - 3

Simplifying the equation:

15 = 3y

Next, divide both sides of the equation by 3 to solve for y:

y = 15 / 3

Simplifying the fraction gives us:

y = 5

7) 40 - 12 = 20 - 11x

Subtract 20 from both sides of the equation:

40 - 12 - 20 = 20 - 20 - 11x

Simplifying the equation:

8 = -11x

Next, divide both sides of the equation by -11 to solve for x:

x = 8 / -11

Simplifying the fraction gives us:

x = -8/11

8) -5n - 16 = 3n + 9

Add 5n to both sides of the equation:

-5n + 5n - 16 = 3n + 5n + 9

Simplifying the equation:

-16 = 8n + 9

Next, subtract 9 from both sides of the equation:

-16 - 9 = 8n + 9 - 9

Simplifying further:

-25 = 8n

Finally, divide both sides of the equation by 8 to solve for n:

n = -25 / 8

Simplifying the fraction gives us:

n = -25/8

9) 25 = 5y - 5

Add 5 to both sides of the equation:

25 + 5 = 5y - 5 + 5

Simplifying the equation:

30 = 5y

Next, divide both sides of the equation by 5 to solve for y:

y = 30 / 5

Simplifying the fraction gives us:

y = 6

10) 25 - 9y = 5y + 11

Add 9y to both sides of the equation:

25 - 9y + 9y = 5y + 9y + 11

Simplifying the equation:

25 = 14y + 11

Next, subtract 11 from both sides of the equation:

25 - 11 = 14y + 11 - 11

Simplifying further:

14 = 14y

Finally, divide both sides of the equation by 14 to solve for y:

y = 14 / 14

Simplifying the fraction gives us:

y = 1

I'll continue with the remaining equations in the next response.