Solve the following systems of simultaneous linear equations by the me

1.	Solve the following systems of simultaneous linear equations by the method of elimination by equating the coefficient 2x + y = 13, 5x – 3y = 16
Answer» The given equations are 2x + y = 13 …(i) and 5x – 3y= 16 …(ii) Multiplying equation (i) by 3 and then adding in (ii), we get 11x = 55 \(x=\frac { 55 }{ 11 }=5\) Substituting the value of x in (i), we get 2 × 5 + y = 13 ⇒ 10 + y = 13 ⇒ y = 13 – 10 = 3 Hence the required solution is x = 5, y = 3.

Solve the following systems of simultaneous linear equations by the method of elimination by equating the coefficient 2x + y = 13, 5x – 3y = 16

Answer»

The given equations are

2x + y = 13 …(i)

and 5x – 3y= 16 …(ii)

Multiplying equation (i) by 3 and then adding in (ii),

we get

11x = 55

\(x=\frac { 55 }{ 11 }=5\)

Substituting the value of x in (i), we get

2 × 5 + y = 13

⇒ 10 + y = 13

⇒ y = 13 – 10 = 3

Hence the required solution is x = 5, y = 3.