Question

Equation 1: 2mx+3ny=(m+2n)
Equation 2: 3mx+2ny=(2m+n)

Find the values of x and y.

Answer 1

Step-by-step explanation:

2mx+3ny=m+2n......(1)

3mx+2ny=2m+n.......(2)

multiple equation (1) by 3 and equation (2) by 2

6 mx +9ny=3m+6n.…..(3)

6mx +4ny=4m+2n.....(4)

....-.... ...-.........-..,....-........

5ny=-m+4n

y= -m+4n/5 n

put y in equation (1)

2 mx +3n[-m+4n/5n]=m+2n

x=8m-2n/10m