Question

Solve the following system algebraically

5x+3y=80
-2x+30=y

Answer 1

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

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.