177k views
3 votes
What is the solution to this system of linear equations?

2x + y = 1
3x - y = -6
© (-1,3)
(1,-1)
0 (2, 3)
(5,0)

User Itowlson
by
8.6k points

1 Answer

5 votes

Answer:

(-1,3)

Explanation:

Start with combining the two equations.

2x + 3x = 5x

y-y=0

1-6=5

so the equation is now:

5x=-5

now divide the left side to the right, only the number though not the variable. so no it is. x=-1.

Well. the normal coordinate is (x,y).

Right now we have (-1,y)

We now just need to find the Y. To do that:

1) plug the value of x back into any equation. the bottom or top. (DO NOT COMBINE THE EQUATIONS NOW)

so you have 2x + y =1

(insert value) 2(-1) + y = 1

the equation is now -2 + y = 1

add 2 to both sides to have y by itself

y = 3.

so your final answer is (-1,3)

User MarkRoland
by
8.3k 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