Question

draw the graphs of the equation 2x+y=2 and 4x+2y=9 and comment on the solution.​

Answer 1

Answer:

The given system of equations will not have any solution.

Step-by-step explanation:

As shown in the graph attached,

2x + y = 2

y = -2x + 2

This line (red line) has the slope as (-2) and y-intercept as 2

Second line 4x + 2y = 9 graphed in blue line when divided by 2 it becomes

2x + y = 9

y = -2x + 4.5

This line has the slope (-2) and y-intercept 4.5.

Slope of both the lines are same as (-2) which shows that both the lines are parallel.

Since parallel lines don't have any solution, therefore, the given system of equations will not have any solution.

Learn more about graphing of equations from https://brainly.in/question/4535000

Answer 2

Step-by-step explanation:

Given,

Draw the graphs of the equations 2x+y=22x+y=2 and 4x+2y=94x+2y=9

First equation,

2x+y=22x+y=2

⇒y=-2x+2y=−2x+2

In this line has the slope as -2−2 and y-y− intercept as 22

Second equation,

4x+2y=94x+2y=9

⇒2y=-4x+92y=−4x+9

⇒y=-2x+\frac{9}{2}y=−2x+

2

9

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

2

9

This two line has same slope as -2−2

So, Both line are parallel.

Parallel line have no solution.

∴ Given two equation have no solution.