Solve the following system algebraically

5x+3y=80

-2x+30=y

x = 10, y = 10 is the solution for the given system of equations.

Step-by-step explanation:

Here, the given set of equation are:

5 x + 3 y = 80

and - 2 x + 30 = y

Here, substitute the value of y = - 2x + 30 in equation (1)

Now, 5 x + 3 y = 80 ⇒ 5x + 3 (-2x + 30) = 80

or, 5x - 6x + 90 = 80

or, - x + 90 = 80

or, x = 90 - 80

⇒ x = 10

Now, y = - 2x + 30 = - 2 (10) + 30

= - 20 + 30

= - 20 + 30 = 10

⇒ y = 10

hence, x = 10, y = 10 is the solution for the given system of equations.