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