180k views
10 votes
Which system has the same situation below?

Which system has the same situation below?-example-1
User Shogunivar
by
7.6k points

1 Answer

13 votes

Answer:

2

Explanation:

Let's solve the given system of equations.

Given system

x +3y= 10 ----(1)

-2x -2y= 4 ----(2)

From (2):

-2(x +y)= 4

Dividing both sides by -2:

x +y= -2 ----(2)

Thus, options 3 and 4 are incorrect as x +y≠ -2.

(1) -(2):

(x +3y) -(x +y)= 10 -(-2)

Expand:

x +3y -x -y= 10 +2

2y= 12

Divide both sides by 2:

y= 12 ÷2

y= 6

Substitute y= 6 into (2):

x +6= -2

x= -6 -2

x= -8

Options (1) and (2) differs only by the value of the expression of -x +y. Thus, let's find its value in the given system of equations.

-x +y

= -(-8) +6

= 8 +6

= 14

Thus, option 2 is the correct option.

User BlackSheep
by
7.9k 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