By means of graph verify that the point (1-1) is a solution of the equation 3x+2y-1=0 2x+y-1=0

Dear Student!

The given equation are 3*x* + 2*y* – 1 = 0 and 2*x + y* – 1 = 0.

Consider the equation 3*x* + 2*y* – 1 = 0.

3*x* + 2*y* – 1 = 0

⇒ 2*y* = 1 – 3*x*

Thus we have the following table,

Consider the equation 2*x* + *y* – 1 = 0

2*x* + *y* – 1 = 0

⇒ *y* = 1 – 2*x*

When *x* = 1, *y* = 1 – 2 × 1 = 1 – 2 = – 1

When *x* = 2, *y* = 1 – 2 × 2 = 1 – 4 = – 3

When *x* = –1, *y* = 1 – 2 × ( – 1) = 1 + 2 = 3

Thus, we have the following table,

The graph of the given linear equation is given as,

Thus, ( 1, –1) is the solution of the given equations.

Cheers!

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