Solve the following pair of linear equations graphically: 2x-y=3 and 3x+2y=8

# Solve the following pair of linear equations graphically: 2x-y=3 and 3x+2y=8

1. A
x = 2 and y =1
2. B
x = 2 and y= 2
3. C
x = 1 and y = 2
4. D
x = 1 and y =1

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### Solution:

Given pair of linear equations are,
.... (1)
… (2)
Solving the equation (1), writing y in terms of x and making the table of the co-ordinates,

 x y 0 -3 2 1
Solving the equation (2), writing y in terms of x and making the table of the co-ordinates,

$⇒y=\frac{8-3x}{2}$
 x y 0 4 2 1
Plotting both equations on the graph.
Since both the equations intersect at A(2,1), the solution of the pair of linear equations are x = 2 and y = 1.
Hence, option (1) is correct.

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