Math, asked by sujaykulkarni2005, 9 months ago

solve by graphical method 3x-y=9 and x+2y=8

Answers

Answered by kartik31502D
0

Answer:

ANSWER

Solving simultaneous equations involves using algebra to eliminate one variable and solve for the other, then using that one to find the value of the other. The solution is x=3.33,y=2.33.

Explanation:

Let's label our two equations as (1) and (2) to make them easy to refer to:

2x−y=8 (1)

x+2y=9 (2)

Multiply (2) by 2:

2x+4y=18

Subtract (1) from this equation:

2x+4y=18 minus

2x−y=8

Yields:

3y=10

This is an equation in only one variable, so we can solve it:

y=103or3.33

Substitute this in either (1) or (2) to find x. I'll use (2) because it's simpler:

x+2(103)=9

Rearranging:

x=9−203=2.33

The solution is x=3.33,y=2.33

..

Explanation:

Let's label our two equations as (1) and (2) to make them easy to refer to:

2x−y=8 (1)

x+2y=9 (2)

Multiply (2) by 2:

2x+4y=18

Subtract (1) from this equation:

2x+4y=18 minus

2x−y=8

Yields:

3y=10

This is an equation in only one variable, so we can solve it:

y=103or3.33

Substitute this in either (1) or (2) to find x. I'll use (2) because it's simpler:

x+2(103)=9

Rearranging:

x=9−203=2.33

The solution is x=3.33,y=2.33.

Answered by nayaknalani
3

Here is your answer dear.

3x – y = 9

x + 2y = 8

We will cancel y and +2y as they have opposite signs. We are left with + y Now, we get :-

3x + x + 2y = 17

3x + x + 2y = 17 = 4x + 2y = 17

x = 17 – 2y / 4

→ ( 17 – 2y / 4 ) + 2y = 17

→ 17 – 2y + 4y /4 = 17

→ 17 + 2y / 4 = 17

→ 17 + 2y = 68

→ 2y = 68 – 17 = 51

→ y = 51/2 = 25.5

Now, 3x = 9 + 25.5 = 9.0 + 25.5 = 34.5 .

So, x = 34.5/3 = 11.5 .

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