Explain how to apply substitution in solving a system of equations.?

Favorite Answer

Rewrite one equation in terms of one variable then sub what you get for that variable into the other equation.
 ...Show more

for example,

a - 2b = 10 ---- eq(1)
a + 4b = 12 ---- eq(2)

for eq(1):

a= 10+2b

Then, sustitute it to eq(2)

(10+2b) + 4b = 12
10 + 6b = 12
6b = 12 -10
6b = 2
b = 2/6 = 1/3

return to eq(1) and substitute the value of b :

a - 2b = 10
a - 2(1/3) = 10
a - 2/3 = 10
a = 10 + 2/3
a = 32/3


so,

a=32/3 and b=1/3...Show more