Question

Solve the following pair of linear equations graphically :
2x + y = 5
x + y = 4.​

Answer 1

Step-by-step explanation:

hope you will understand

Answer 2

Solution of equations are x=1 and y=3.

Given:

• $2 x + y = 5$ and
• $x + y = 4$

To find:

• Find the solution of equations graphically.

Solution:

Concept to be used:

• Find at least two points from both equations.
• Draw the line.
• The point of intersection of lines is solution of equations.

Step 1:

Find atleast two-2 points on each line.

For equation 2x+y=5

$\begin{tabular}{|c|c|c|}\cline{1-3}x&0&2.5\\\cline{1-3}y&5&0\\\cline{1-3}\end{tabular}$

For equation x+y=4

$\begin{tabular}{|c|c|c|}\cline{1-3}x&0&4\\\cline{1-3}y&4&0\\\cline{1-3}\end{tabular}$

Step 2:

Plot the points and draw lines for each equation.

The lines intersect each other at point (1,3).

*see the attached figure.

Thus,

Solution of equations are x=1 and y=3.

#SPJ3

Learn more:

1) Solve the following pair of linear equations graphically. Also write the observations.

(iii) 3x - y = 2 ; 9x - 3y = 6

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2)Write the coordinates of the point where the graph of the equation x +2y = 4 intersect the x-axis

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