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Taya2010 [7]
3 years ago
9

guys i need help with solving the system of equations and combining the equations. also show your work. the equations are x-4y=-

12 and 4x-y=12. i need the answer in coordinates. i only need help with 3 questions with this.
Mathematics
1 answer:
Firdavs [7]3 years ago
5 0
X-4y=-12
4x-y=12

eliminate y's
multily 2nd equaiton by -4 and add to top one

x-4y=-12
<u>-16x+4y=-48 +
</u>-15x+0y=-60

-15x=-60
divide both sides by -15
x=4
sub back
x-4y=-12
4-4y=-12
minus 4 both sides
-4y=-16
divide both sides by -4
y=4

x=4
y=4
(x,y)
(4,4)<u>
</u>
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Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The
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Answer:

Option C.

Step-by-step explanation:

Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.

Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.

Using triangle proportionality theorem we get

\dfrac{SA}{SB}=\dfrac{CT}{BT}

\dfrac{SA}{10}=\dfrac{2.7}{9}

On cross multiplication we get

9\times SA=2.7\times 10

9SA=27

Divide both sides by 9.

SA=3

The length of SA is 3ft.

Therefore, the correct option is C.

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