Solve the following equations by the method of elimination (by substitution)
2x + 3y = 9
3x + 4y = 5
We have,
2x + 3y = 9 …(i)
3x + 4y = 5 …(ii)
From equation (i),
2x + 3y = 9
⇒ 2x = 9 – 3y
…(iii)
Substituting the value of x from equation (iii) in equation (ii), we get
⇒ 27 – y = 10
⇒ y = 27 – 10
⇒ y = 17
Putting this value of y in equation (iii), we get
⇒ x = -21
Thus, we get the solution as x = -21 and y = 17.
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