What is the solution for the system of linear equations y=4x + 1 and 2x + y = 13?

The solution for the system of linear equations y = 4x + 1 and 2x + y = 13 is (x, y) = (2, 9)

Solution:

Given, two equations are y = 4x + 1 ⇒ (1) and 2x + y = 13 ⇒ (2)

We have to find the solution of the above system of equations.

Now, substitute the y value of equation (1) in place of y of the equation (2)

Then, eqn (2) becomes ⇒ 2x + (4x + 1) = 13

⇒ 2x + 4x + 1 = 13

⇒ 6x = 13 - 1

⇒ 6x = 12

⇒ x = 2

Substitute x value in (1)

Eqn (1) becomes ⇒ y = 4 (2) + 1

⇒ y = 8 + 1 ⇒ y = 9

Hence, the solution for the given system of equations is (x, y) = (2, 9)