Solve the following equations by the method of elimination (by substitution)
3x + 2y = 11
2x + 3y = 4
We have
3x + 2y = 11 …(i)
2x + 3y = 4 …(ii)
From equation (i),
3x + 2y = 11
⇒ 3x = 11 – 2y
…(iii)
Substituting the value of x from equation (iii) in equation (ii), we get
⇒ 22 – 4y + 9y = 12
⇒ 22 + 5y = 12
⇒ 5y = 12 – 22
⇒ 5y = -10
⇒ y = -2
Putting this value of y in equation (iii), we get
⇒ x = 5
Thus, we get the solution as x = 5 and y = -2.
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