116k views
2 votes
-x+y = -5- 4x + 4y = -20 Solve by the substitution method

1 Answer

2 votes

Answer:

(x, y) such that y = x - 5.

Step-by-step explanation:

To solve the system by subtitution, we first need to solve the first equation for y, so:

-x + y = - 5

-x + y + x = -5 + x

y = x - 5

Then, we need to substitute y = x - 5 on the second equation, so:

-4x + 4y = -20

-4x + 4(x - 5) = -20

Finally, we need to solve for x:

-4x + 4x - 4(5) = -20

-20 = -20

Since we got equality of -20 = -20, we can say that the system has an infinite number of solutions where y = x - 5.

Answer:

(x, y) such that y = x - 5.

User Judee
by
8.2k 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