Question

Solve 2ax +3by=a+2b,3ax+2by=2a+b by elemination method

Answer 1

Answer:

x=(4a-b)/5a and y=(4b-a)/5b

Step-by-step explanation:

2ax +3by=a+2b :equation 1

3ax+2by=2a+b :equation 2

equation 1x3 andequation 2x2 becomes

6ax +9by=3a+6b :equation 3

6ax+4by=4a+2b:equation 4

equation 3-equation 4 becomes

5by= -a+4b:equation 5

y=(-a+4b)/5b:equation 6

equation 6 putting in equation 1

2ax+3b*(-a+4b)/5b=a+2b

2ax+(-3a+12b)/5=a+2b

10ax-3a+12b=5a+10b

10ax=8a-2b

x=(8a-2b)/10a

x=(4a-b)/5a and y=(4b-a)/5b