find the solution for the pair of linear equation by graphical method : x+y=5 2x+y=7 do in graphical method
Answers
Answer:
x=2
y=3
Step-by-step explanation:
x+y=5
2x+y=7
y=-x+5
2x-x+5=7
x=7-5
x=2
y=5-x
y=5-2
y=3
We have given two pair of linear equations and we have to find the value of x and y through graph.
For that firstly convert the Equation either in the form of x or y and then plot points into and obtained the coordinate . Put the coordinate into graph of both the Equation and we obtained a interesting point with the help of coordinate of both the Equation which will be our final solution.
➙x+y=5------(1)
➙2x+y=7-----(2)
Solving first Equation
x+y=5
➙x= 5-y
At y=0
➙x= 5
At y= 1
➙x= 5-1=4
Now ,plot the points (5,0)& (4,1) into graph
-----------------------------------------------------------
Solving second part
2x+y=7
➙y= 7-2x
At x=0
➙y= 7
At x=1
➙y= 5
Now,plot the points (0,7)& (1,5) into the graph
After plotting points we obtained a straight line graph which intersect at the points (2,3)
Hence,the solution of the given pair of linear equations is x = 2 & y=3.