Question
Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
48=2X+ 2Y
Hint:
Use the method of substitution.
The correct answer is: x=15 and y=9
Complete step by step solution:
In the substitution method, we need to work only on one equation, instead of
two equations.
We need only a few steps to solve since we have only 1 equation.
Let x = 6 + y…(i)
and 48 = 2x + 2y….(ii)
On substituting (i) in (ii), we get
48 = 2(6 + y) + 2y
⇒ 48 = 12 + 2y + 2y
⇒ 48 = 12 + 4y
⇒ 48 -12 = 4y
⇒ 36 = 4y
⇒4y =36
⇒ y = 9
On substituting the value of y in (i), we get
x = 6 + 9
⇒ x = 15
Hence we get x = 15 and y = 9
On substituting (i) in (ii), we get
On substituting the value of y in (i), we get
Hence we get x = 15 and y = 9
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