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)