Solve the following equations by the method of elimination (by substitution)
4x – 5y = 39
2x – 7y = 51
We have
4x – 5y = 39 …(i)
2x – 7y = 51 …(ii)
From equation (i),
4x – 5y = 39
⇒ 4x = 5y + 39
…(iii)
Substituting the value of x from equation (iii) in equation (ii), we get
⇒ 5y + 39 – 14y = 102
⇒ 39 – 9y = 102
⇒ 9y = 39 – 102
⇒ 9y = -63
⇒ y = -7
Putting this value of y in equation (iii), we get
⇒ x = 1
Thus, we get the solution as x = 1 and y = -7.
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