Question

solve the linear equation in two variables graphically X+2y=9 2x-y=8​

Answer 1

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.

Step-by-step explanation:

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