Question

) Solve the following linear equations by substitution method.

ax + y = m

bx - y = n​

Answer 1

Answer:

x=m+n/a+b      y=bm-an/a+b

Step-by-step explanation :By using substitution method

ax+y=m ------1 equation      and      bx-y=n-------2 equation

x=m-y/a-------3 equation

Substituting the value of x in 2nd equation,

bm-by/a-y=n

bm-by-ay/a=n

bm-by-ay=an

ay+by=bm-an

y=bm-an/a+b

Again, putting the value of y in 3rd equation

x=m-bm-an/a+b/a

x=am+bm-bm+an/a*a+b

x=am+an/a*a+b

x=m+n/a+b