solve by graphical method 3 X + y = 9 and X + 2y = 8
Answers
Step-by-step explanation:
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
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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.
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Answer:
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