Question

Find the solution of the following pair of linear equations graphically

x – 2 y = 10 , 3 x + y = 9​

Answer 1

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Step-by-step explanation:

Given, x+2y=10

⇒x=10−2y

For y=3

x=10−2(3)=4

For y=4

x=10−2(4)=2

x 4 2

y 3 4

For 2x+4y=8

⇒x+2y=4

⇒x=4−2y

For y=1

x=4−2(2)=2

For y=3

x=4−2(3)=−2

x 2 −2

y 1 3

The graph x+2y=10 cuts the x and y-axis at (10,0) and (0,5) respectively, while the graph of 2x+4y=8 cuts the x and y-axis at (4,0) and (0,2) respectively.

Since the graph consists of a pair of parallel lines, the system of equations has no solution.

solution

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Answer 2

Step-by-step explanation:

×-2y=10.3

3×+y=9.x

3x-6y=30

3×+y=9

5y=21

y=4.5

x