x+2y=9 ; 2x-y=8 elimination method
Answers
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.
(I hope I can help you.)