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3 years ago

Please help me out! Thank you!

Mathematics

2 answers:

Yakvenalex [24]3 years ago

7 0

Answer:

(2, 0)

Step-by-step explanation:

Use elimination to solve for y:

$3x-5y=6\\-3x-8y=-6\\--------\\-13y=0\\y=0$

(What I did is to add both equations up)

Substitute y into any of the two equations to solve for x:

$3x-5(0)=6\\3x=6\\x=2$

avanturin [10]3 years ago

6 0

<h3>Answer: x = 2 and y = 0</h3>

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Explanation:

We have 3x in the first equation and -3x in the second equation

They add to 0x or simply 0. So the x terms go away when we add them.

Let's add the other corresponding terms.

The y terms add to -5y+(-8y) = -13y
The right hand side values add to 6 + (-6) =0

After adding, we have the new equation 0x-13y = 0 or simply -13y = 0. That solves to y = 0 after dividing both sides by -13.

Use this y value to find x.

3x-5y = 6

3x-5(0) = 6

3x = 6

x = 6/3

x = 2

Or you can use the second equation

-3x-8y = -6

-3x-8(0) = -6

-3x = -6

x = -6/(-3)

x = 2

The fact we get the same x value each time helps confirm the answer.

-----------------

To fully confirm the answer, you need to plug (x,y) = (2,0) into both equations and simplify. You should get the same number on each side.

Let's check the first equation

3x-5y = 6

3(2) - 5(0) = 6

6 - 0 = 6

6 = 6

That works out. Repeat for the second equation

-3x-8y = -6

-3(2) - 8(0) = -6

-6 - 0 = -6

-6 = -6

That works as well. The answer has been fully confirmed.

Side note: If you graphed the two lines, then they cross at (x,y) = (2,0). This is the x intercept of each line.

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3 years ago

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Answer:

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