Solve the following system of equations:3x – 7y + 10 = 0; y – 2x

1.	Solve the following system of equations:3x – 7y + 10 = 0; y – 2x – 3 = 0
Answer» The given pair of equations are: 3x – 7y + 10 = 0 ……….(i) y – 2x – 3 = 0 …………..(ii) From (ii) y – 2x – 3 = 0 y = 2x + 3 ………………(iii) Now, substituting y in equation (i) we get, ⇒ 3x – 7(2x + 3) + 10 = 0 ⇒ 3x – 14x – 21 + 10 = 0 ⇒ -11x = 11 ⇒ x = -1 Next, putting the value of x in the equation (iii) we get, ⇒ y = 2(-1) + 3 ∴ y= 1 Thus, the value of x and y is found to be -1 and 1 respectively.

Solve the following system of equations:3x – 7y + 10 = 0; y – 2x – 3 = 0

Answer»

The given pair of equations are:

3x – 7y + 10 = 0 ……….(i)

y – 2x – 3 = 0 …………..(ii)

From (ii)

y – 2x – 3 = 0

y = 2x + 3 ………………(iii)

Now, substituting y in equation (i) we get,

⇒ 3x – 7(2x + 3) + 10 = 0

⇒ 3x – 14x – 21 + 10 = 0

⇒ -11x = 11

⇒ x = -1

Next, putting the value of x in the equation (iii) we get,

⇒ y = 2(-1) + 3

∴ y= 1

Thus, the value of x and y is found to be -1 and 1 respectively.