221k views
4 votes
What is the solution of the system? Use the elimination method. 2x+y=20.  6x−5y=12 Enter your answer in the boxes.

User Ichbinjoe
by
8.5k points

2 Answers

7 votes

Answer:

The solution of the system of equations is (7,6). The value of x is 7 and the value of y is 6.

Explanation:

The given equations are


2x+y=20 .... (1)


6x-5y=12 .... (2)

Use elimination method to find the value of x and y.

Multiply equation (1) by 5.


10x+5y=100 .... (3)

Now, add equation (2) and (3) to eliminate variable y.


(6x+10x)=(100+12)


16x=112


x=(112)/(16)


x=7

The value of x is 7. Substitute this value in equation (1).


2(7)+y=20


14+y=20

Subtract both sides by 14.


y=20

Therefore the solution of the system of equations is (7,6). The value of x is 7 and the value of y is 6.

What is the solution of the system? Use the elimination method. 2x+y=20.  6x−5y=12 Enter-example-1
User Brian Hoover
by
8.3k points
6 votes
Given

2x + y = 20 . . . (1)
6x - 5y = 12 . . . (2)

(1) x 3 ⇒ 6x + 3y = 60 . . . (3)

(2) - (3) ⇒ -8y = -48

⇒ y = -48 / -8 = 6

Substituting for y in (1), we have

2x + 6 = 20
2x = 20 - 6 = 14
x = 14 / 2 = 7.

Therefore, the solution to the system is

x = 7 and y = 6.
User Fatemeh Rostami
by
7.8k points

No related questions found

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

9.4m questions

12.2m answers

Categories