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Solve the following systems of equations graphically:

x + y = 3

2x + 5y = 12

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x =1 and y=2

x =2 and y=2

x =3 and y=2

x =1 and y=-2

answer is A.

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Detailed Solution

Given-
x + y = 3
2x + 5y = 12
Consider equation x + y =3.

⇒ y = 3 − x

Consider the equation 2x + 5y = 12.

⇒ 5 y = 12 − 2 x ⇒ y = 12 − 2 x 5

Plot these points in the graph and find the point of intersection.
Question Image

From the graph, the point of intersection is (1, 2).
Coordinates of intersection point is the solution of the equation.
So, x = 1, y = 2.
Hence, option (1) is correct.

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