12.5k views
4 votes
Solve the following system algebraically

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

User Tuminoid
by
7.4k points

1 Answer

2 votes

Answer:

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.

User Dmitrynikolaev
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.