Question

solve graphically the equation 2x-y+1=0,x-2y+8=0​

Answer 1

SOLUTION

TO DETERMINE

Solve graphically the equation

2x - y + 1 = 0 , x - 2y + 8 = 0

EVALUATION

Here the given system of equations are

2x - y + 1 = 0 - - - - - - (1)

x - 2y + 8 = 0 - - - - - - (2)

We plot the above equations of the lines in the graph paper

Red line represents the line 2x - y + 1 = 0

Green line represents the line x - 2y + 8 = 0

We see from the graph that two lines intersect at the point (2,5)

We know that for a given system of equations the solution is point of intersection of the lines

Abscissa of the point of intersection = 2

Ordinate of the point of intersection = 5

Hence the required solution is x = 2 , y = 5

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