Solve the following system of equation by elimination method.
The given equations are
+ 
= 17 … (1)
+ 
= 
… (2)
Let a = 
and b =
.
⇒ 15a + 2b = 17 … (3)
⇒ a + b = 
… (4)
Now, (3) – (4) × 2
⇒ 15a + 2b – (2a + 2b) = 17 – 
⇒ 15a + 2b – 2a – 2b = 
⇒ 13a = 
⇒ a = 
Substituting a = 
in (4),
⇒ 
+ b = 
⇒ b = 
= 7
When a =
, 
=
. Thus, x = 5.
When b = 7, 
= 7. Thus, y = 
∴ (5,
) is the solution to the given system.
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
