Answer :

Rewriting the above equations in the standard form of ax + by = c


8x + 5y = 11 (i)


3x – 4y = 10 (ii)


In this problem, we will eliminate ‘y’ from both the equations (i) & (ii),


Note: - We can eliminate any one of the variable, to eliminate y, we have to make the coefficient of y in both the equations equal.


We have to multiply the coefficient of y with such a number that makes them equal to the common factor of both of them.


Multiply equations (i) with 4 and (ii) with 5 .



x = 2, putting the value of x = 2 in equation (i), we get y = - 1


Hence the solution of the two linear equation is x = 2 and y = - 1


Let us take the equation (i) as Straight Line A and (ii) as B . To draw the lines we need at least 2 points to draw.


Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on the line, take different values of x related to it, we get different values for y from the equation.


We get the following tables for the given linear equations.


For 8x + 5y = 11




For 3x – 4y = 10





Hence also by graphical method the solution comes out to be (2, - 1)


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