2x + y = 7 and 5x + y = 9 solve the system of equations.

Solution:

It is given

2x + y = 7 --- (1)

5x + y = 9 --- (2)

By subtracting both the equations

⇒ -3x = - 2

Dividing both sides by -3

⇒ x = 2/3

Substituting the value of x in equation (1)

⇒ 2(2/3) + y = 7

⇒ 4/3 + y = 7

So we get

⇒ y = 7 - 4/3

Taking LCM

⇒ y = (21 - 4)/3

⇒ y = 17/3

Therefore, the solution is (2/3, 17/3).

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2x + y = 7 and 5x + y = 9 solve the system of equations.

Summary:

Solving the system of equations 2x + y = 7 and 5x + y = 9 we get (2/3, 17/3).