He worked 9 hours in his first job and 5 hours in his second
Answer:
![\boxed{\sf x=-2}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20x%3D-2%7D)
![\boxed{\sf y=-4}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20y%3D-4%7D)
Step-by-step explanation:
<u>First, Let's solve for x in -2x+2y=-4:</u>
![\sf -2x+2y=-4](https://tex.z-dn.net/?f=%5Csf%20-2x%2B2y%3D-4)
<u>Subtract 2y from both sides:</u>
![\sf -2x+2y-2y=-4-2y](https://tex.z-dn.net/?f=%5Csf%20-2x%2B2y-2y%3D-4-2y)
![\sf -2x=-4-2y](https://tex.z-dn.net/?f=%5Csf%20-2x%3D-4-2y)
<u>Divide both sides by -2:</u>
![\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}](https://tex.z-dn.net/?f=%5Csf%20%5Ccfrac%7B-2x%7D%7B-2%7D%3D-%5Ccfrac%7B4%7D%7B-2%7D-%5Ccfrac%7B2y%7D%7B-2%7D)
![\bold{ x=y+2}](https://tex.z-dn.net/?f=%5Cbold%7B%20x%3Dy%2B2%7D)
<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>
![\sf 3x+3y=-18](https://tex.z-dn.net/?f=%5Csf%203x%2B3y%3D-18)
→ let x=2+y
![\sf 3\bold{(2+y)}+3y=-18](https://tex.z-dn.net/?f=%5Csf%203%5Cbold%7B%282%2By%29%7D%2B3y%3D-18)
<u>Simplify:</u>
![\sf 6+6y=-18](https://tex.z-dn.net/?f=%5Csf%206%2B6y%3D-18)
<u>Now, let's solve for y in 6+6y=-18</u>
![\sf 6+6y=-18](https://tex.z-dn.net/?f=%5Csf%206%2B6y%3D-18)
<u>Subtract 6 from both sides:</u>
![\sf 6+6y-6=-18-6](https://tex.z-dn.net/?f=%5Csf%206%2B6y-6%3D-18-6)
![\sf 6y=-24](https://tex.z-dn.net/?f=%5Csf%206y%3D-24)
<u>Divide both sides by 6:</u>
![\sf \cfrac{6y}{6}=\cfrac{-24}{6}](https://tex.z-dn.net/?f=%5Csf%20%5Ccfrac%7B6y%7D%7B6%7D%3D%5Ccfrac%7B-24%7D%7B6%7D)
![\bold{ y=-4}](https://tex.z-dn.net/?f=%5Cbold%7B%20y%3D-4%7D)
<u>Now, substitute y=-4 into x=2+y:</u>
![\sf x=2+y](https://tex.z-dn.net/?f=%5Csf%20x%3D2%2By)
→ let y = -4
![\sf x=2+\bold{-4}](https://tex.z-dn.net/?f=%5Csf%20x%3D2%2B%5Cbold%7B-4%7D)
![\bold{x=-2}](https://tex.z-dn.net/?f=%5Cbold%7Bx%3D-2%7D)
Therefore, x=-2 and y=-4.
<u>_____________________________________</u>
Answer:
Wins: 57 games
Losses: 21 games
Step-by-step explanation:
a + b = 78
a = 2b + 15
a = wins
b = losses
(2b+15) + b = 78
3b + 15 = 78
3b = 78 - 15
3b = 63
b = 63/3
b = 21
a = 2b + 15
a = 2*21 + 15
a = 42 + 15
a = 57
Check:
21 + 57 = 78
Alright, so i’ll make a graph for you with the points.... just look at the image below. i hope you give me brainliest!!! i’m trying hard!
red- ‘p’
blue- ‘G’
green- ‘H’
make ‘k’ at points (4,4)