Can someone please help me with these questions?

[shortster]

3. You start with the equations 3x = y and x + 10 = y - 24. So if you substitute y with 3x in the second equation you have x + 10 = 3x -24. Then subtract x from both sides and add 24 to both sides you get 34 = 2x; divide both sides by 2 and you get 17 = x and 3 * 17 = y or 51 = y.

4. You start with the equations f + s = $32 and f = 2s - 4. Substitute f in the first equation with the second equation so 2s - 4 + s = 32; add 4 to both sides to get 2s + s = 36. Which simplifies to 3s = 36; divide both side by 3. You get s = 12; plug it back into the first equation. f + 12 = 32; subtract 12 from both sides and get f = 20.

5. You start with the equations r = 4w + 6 and r + w = 41. Replace r in the second equation with the first equation; giving us 4w + 6 + w = 41. Simplify and subtract 6 from both sides; to get 5w = 35; and divide both sides by 5. We get w = 7. Plug that into the second equation r + 7 = 41; subtracting 7 from both sides and r = 34.

6. You start with the equations l = 3w - 8 and 2l + 2w = 80. Before I start to solve this I notice that the second equation can be simplified by dividing both sides by 2; giving me l + w = 40. Now I will plug in the first equation for l; so I have 3w - 8 + w = 40. Add 8 to both sides; 4w = 48. Divide both side by 4 and w = 12. Plug that back into the first equation; and you get l = 3 * 12 - 8. Or l = 36 - 8, or l = 28.

7 (the first 7). Your equations are x = 5y - 4 and x - 2y = y + 8. Plug in 5y - 4 for x in the second equation; and you have 5y - 4 - 2y = y + 8. Add 4 to both sides to get 3y = y + 12; subtract y from both sides to get 2y = 12. Then divide both sides by 2 to get y = 6. Plug that back into the first equation to have x = 5 * 6 - 4, or x = 30 - 4, or x = 26.

7 (the second 7). You start with f = s + 18 and f + s = 226. Replace f with s + 18 in the second equation; to get s + 18 + s = 226. Subtract 18 from both sides for 2s = 208; divide both sides by 2 for s = 104. Plug that back into the first equation f = 104 +18; or f = 122.

8. This one has three equations a + 3 = b, a + 8 = c, and a + b + c = 59. Will replace b and c in the third equation with the first two equations to get a + a + 3 + a + 8 = 59. Which simplifies to 3a + 11 = 59; and subtract 11 from both sides to get 3a = 48. Divide both sides by 3 to get a = 16. Plug that into the first two equations to get 16 + 3 = b and 16 + 8 = c; or 19 = b and 24 = c.

9. Your equations are x + y = 124 and x = 3y + 16. Replace x in the first equation with the second equation to get 3y + 16 + y = 124. Subtract 16 from both sides for 4y = 108; divide both sides by 4 to get y = 27. Plug that back into the first equation to get x + 27 = 124; subtracting 27 from both sides to get x = 97.

[Astarlessnightsky]

4.

1st price= 2 times 2nd price -4
1st price 2nd price = 32

2x-4=y
x y=32

x 2x-4=32
3x-4=32
3x=36
x=12

12 y=32
y=20

[jennifer_bloom]

3x = G // X + 10 = G - 24
X + 10 = 3X - 24
X - 3X = - 24 - 10
- 2X = - 32
- X = - 17
X = 17
3X = G
3 (17) = G
51 = G

[I-have-a-biscuit]

4

10

20

C

Alabama

Cotton Eye Joe

[Avicenna]

That's a lot to ask someone to do

[Anonymous]

Its too small to read