Answer:
note:
solution is attached in word form due to error in mathematical equation. furthermore i also attach Screenshot of solution in word due to different version of MS Office please find the attachment
1. -x+9y=-5
x-5y=1
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x=1+5y
-(1+5y)+9y=-5
-1-5y+9y=-5
-1+4y=-5
4y=-5-(-1)
4y=-5+1=-4
4y=-4
y=-4/4=-1
So x=1+5y=1+5(-1)=1-5=-4
Answer: x=-4, y=-1. (-4, -1).
2) -7x-y=13
8x+y=-14
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y=-14-8x
-7x-(-14-8x)=13
-7x+14+8x=13
14+x=13
x=13-14=-1
y=-14-8(-1)=-14+8=-6.
Answer: x=-1, y=-6. (-1, -6).
3) x+7y=24
x-9y=-24
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x=24-7y
24-7y-9y=-24
24-16y=-24
16y=24-(-24)=24+24=48
y=48/16=3
x=24-7(3)=24-21=3
Answer: x=3, y=3. (3, 3).
4). 3x+y=-21
x+y=-5
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x=-5-y
3(-5-y)+y=-21
-15-3y+y=-21
-15-2y=-21
2y=-15-(-21)=-15+21=6
y=6/2=3
x=-5-3=-8.
Answer: x=-8, y=3. (-8, 3).
5) 3x+6y=6
9x-12y=18
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Simplify 3x+6y=6 will get you x+2y=2,
x=2-2y,
9(2-2y)-12y=18
18-18y-12y=18
18-30y=18
30y=18-18=0
y=0/30=0
x=2-2(0)=2-0=2
Answer: x=2, y=0. (2, 0).
6) 6x+8y=26
-7x+2y=-19
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-4(-7x+2y)=-4(-19)
28x-8y=76
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6x+8y=26
28x-8y=76
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34x=102
x=102/34=3
6(3)+8y=26
18+8y=26
8y=26-18=8
y=8/8=1
Answer: x=3, y=1. (3, 1)
BONUS:
-5x+5y=-25
3x+2y=10
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Simplify -5x+5y=-25 you will get x-y=5
x=y+5
3(y+5)+2y=10
3y+15+2y=10
5y+15=10
5y=10-15=-5
y=-5/5=-1
x=-1+5=4
Answer: x=4, y=-1. (4, -1).
Answer: ![x=1](https://tex.z-dn.net/?f=x%3D1)
Step-by-step explanation:
In order to find the value of "x", it is important to remember that:
![Tangent\ chord\ angle=\frac{1}{2}(Intercepted\ arc)](https://tex.z-dn.net/?f=Tangent%5C%20chord%5C%20angle%3D%5Cfrac%7B1%7D%7B2%7D%28Intercepted%5C%20arc%29)
We can identify in the figure that:
![Tangent\ chord\ angle=(43x)\°\\\\Intercepted\ arc=AB](https://tex.z-dn.net/?f=Tangent%5C%20chord%5C%20angle%3D%2843x%29%5C%C2%B0%5C%5C%5C%5CIntercepted%5C%20arc%3DAB)
Then:
![43x=\frac{1}{2}AB](https://tex.z-dn.net/?f=43x%3D%5Cfrac%7B1%7D%7B2%7DAB)
Solving for AB:
![2(43x)=AB\\\\AB=86x](https://tex.z-dn.net/?f=2%2843x%29%3DAB%5C%5C%5C%5CAB%3D86x)
Now, since there are 360° in a circle, we know that:
![AB+(272x+2)=360](https://tex.z-dn.net/?f=AB%2B%28272x%2B2%29%3D360)
Then we can substitute
into
and solve for "x". This is:
![(86x)+(272x+2)=360\\\\358x=360-2\\\\x=\frac{358}{358}\\\\x=1](https://tex.z-dn.net/?f=%2886x%29%2B%28272x%2B2%29%3D360%5C%5C%5C%5C358x%3D360-2%5C%5C%5C%5Cx%3D%5Cfrac%7B358%7D%7B358%7D%5C%5C%5C%5Cx%3D1)
Answer:
1*1+4+5+3+6+3+2(6+3+4(+3+5(8+2+8+483+4+8+82+7-74-4-3
Answer: B
Step-by-step explanation: