Solve the following equations by the method of elimination (by substitution)
8x + 5y = 9
3x + 2y = 4
We have
8x + 5y = 9 …(i)
3x + 2y = 4 …(ii)
From equation (i),
8x + 5y = 9
⇒ 8x = 9 – 5y
…(iii)
Substituting the value of x from equation (iii) in equation (ii), we get
⇒ 27 – 15y + 16y = 32
⇒ (16y – 15y) = 32 – 27
⇒ y = 5
Putting this value of y in equation (iii), we get
⇒ x = -2
Thus, we get the solution as x = -2 and y = 5.
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.