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Explain how to apply substitution in solving a system of equations.?
Explain how to apply substitution in solving a system of equations.
2 Answers
- Wile E.Lv 78 years agoFavorite Answer
Rewrite one equation in terms of one variable then sub what you get for that variable into the other equation.
Source(s): 6/21/13 - 8 years ago
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
