Choose the correct graph of the given system of equations. y + 2x = −1 3y − x = 4 graph of two lines that intersect at the point (negative 1, 1) graph of two li
Question
y + 2x = −1
3y − x = 4
graph of two lines that intersect at the point (negative 1, 1)
graph of two lines that intersect at the point (1, 1) < Not
graph of two parallel lines with positive slopes
None of the above
2 Answer

1. User Answers JeanaShupp
Answer: Graph of two lines that intersect at the point (negative 1, 1).
Stepbystep explanation:
The given system of linear equations :
[tex]y+2x=1(1)\\\\3yx=4(2)[/tex]
Multiply equation (1) by 3 , we get
[tex]3y+6x=3(3)[/tex]
Subtract equation (2) from (3), we get
[tex]6x+x=34\\\\ 7x=7[/tex]
Divide both sides by 7 , we get
x=1
Put value of x in (1), we get
[tex]y+2(1)=1\\\\ y2=1\\\\ y=1+2=1[/tex]
⇒ both lines are intersecting at (x,y)=(1,1)
∴ The correct graph of the given system of equations : graph of two lines that intersect at the point (negative 1, 1)

2. User Answers mayojya
Answer:
(1,1) One solution
Stepbystep explanation:
Use these steps for the equations:
1) Rewrite the equation in slope intercept form.
2) Graph the first equation.
3) Graph the second equation.
4) Identify the point of intersection.