Question

solve graphically to find the values of x and y

2x+y = 23
4x-y =19​

Answer 1

Consider the equations:

2x+y=23.........(1)

4x−y=19.........(2)

Add equations 1 and 2 to eliminate y, because the coefficients of y are the opposite. So, we get

(2x+4x)+(y−y)=23+19

i.e. 6x=42

i.e. x=7

Substituting this value of x in (1), we get

14+y=23

i.e. y=23−14=9

i.e. y=9

Therefore, the solution of the equations is x=7,y=9.

Hence, x−3y=7−27=−20 and 5y−2x=45−14=31.

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