Question

Draw the graph of the following equation 2( x + 1) = 3 ( y – 1) – 4 and check whether the point (3, -1) lies on the line

Answer 1

As for the graph, plot the following points on the graph and join the points. The line so formed will be the graph of the equation.

The equation is: 2(x+1)=3(y-1)-4

=> 2x+2=3y-12

=>2x-3y+2+12=0

=> 2x-3y+14=0

(1) Substituting y by 0, we have:

2x-3(0)+14=0

=> 2x=-14

=> x=-14/2=-7

Thus, (-7,0) is a solution of the equation.

(2) Substituting y by 2, we have:

2x-3(2)+14=0

=> 2x-6+14=0

=> 2x+8=0

=> 2x =-8

=> x=-8/2=-4

Thus, (-4,2) is a solution of the equation.

(3) Substituting x by 2, we have:

2(2)-3y+14=0

=>4-3y+14=0

=>18-3y=0

=>3y=18

=>y=18/3=6

Thus, (2,6) is a solution of the equation.

From the graph, it can be interpreted that (3,-1) doesn't lie on the graph.

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Answer 2

Answer:

here is ur answer..........