Question

plat the graph for the following equation in two variable. 2x+y=3​

Answer 1

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Answer 2

Step-by-step explanation:

Explanation:

Pick some values for

x

, and use the equation to find what

y

must be for each of those

x

's.

For example, if

x

is 0, then we have:

2x+y=3

⇒2(0)+y=3

⇒0+y=3

⇒y=3

So when

x=0

, we have

y=3

. Meaning the point

(x,y)=(0,3)

is a solution to

2x+y=3

, and so our graph of the equation will passthrough (0,3) .

We can get a few more points:

If x=1 , then

2x+y=3

⇒2(1)+y=3

⇒2+y=3

⇒y=1

So (x,y)=(1,1)

is also on our graph.

Similarly, if

x=2

, then we get

y=–1

, giving us the point

(x,y)=(2,–1) .

We then take the points we've computed,

(0,3),(1,1),(2,–1)

, and plot them on a graph:

graph{((x)^2+(y-3)^2-.02)((x-1)^2+(y-1)^2-.02)((x-2)^2+(y+1)^2-.02)=0 [-10, 10, -5, 5]}

Last, since we know this equation is linear, we just need to connect the dots with a line: