Question

Draw the graphs of the equations 2x+y=2 and 4x+2y=9 and comment on the solution

Answer 1

x=1

y=0

both the equations have same zeros

Answer 2

Given two equation have no solution as shown in figure.

Step-by-step explanation:

Given,

Draw the graphs of the equations $2x+y=2$ and $4x+2y=9$

First equation,

$2x+y=2$

⇒$y=-2x+2$

In this line has the slope as $-2$ and $y-$intercept as $2$

Second equation,

$4x+2y=9$

⇒$2y=-4x+9$

⇒$y=-2x+\frac{9}{2}$

In this line has the slope as $-2$ and $y-$intercept as $\frac{9}{2}$

This two line has same slope as $-2$

So, Both line are parallel.

Parallel line have no solution.

∴ Given two equation have no solution.