SOLUTION: The equations of two lines are given as x + 3y = 0 and 2x - y= -7. What are the coordinates of the point of intersection. How do I solve this Thank you, Natasha

Question 549455: The equations of two lines are given as x + 3y = 0 and 2x - y= -7. What are the coordinates of the point of intersection.
How do I solve this
Thank you,
Natasha
Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!
Hi Natasha,
Finding x and y and writing them as an ordered pair (x,y) is what your teacher is looking for here.
With systems of equations there are three ways to solve it, graphing, substitution or elimination.
I'll show you elimination and graphing.
x + 3y = 0 and
2x - y= -7
Lets multiply both sides of the second equation by 3
6x-3y=-21
Now lets add the two equations
6x-3y=-21
x + 3y = 0
7x=-21
x=-3
We can then plug in -3 for x to find y
2*(-3)-y=-7
y=1
so your answer is (-3,1)
To graph we have to have the equations in slope intercept form
x + 3y = 0
3y=-x
y=-x/3

2x - y= -7
-y=-2x-7
y=2x+7

and we see they intersect at (-3,1)
RELATED QUESTIONS
The equations of two lines are given as 3w-2z=42 and 2w -z = 26. What are the coordinates (answered by jim_thompson5910)

The equations of 2 lines are shown below: 2x-4y=6 3x+y=-5 What are the... (answered by checkley71,venugopalramana)

Two straight lines pass through the point of intersection of the line 2x+4y=1 and x+3y=2. (answered by josgarithmetic)

what are the (x,y) coordinats of the intersection of the lines determined by the... (answered by Alan3354,hemendraagrawal9@gmail.com)

The two straight lines 3y + 2x - 7 = 0 and 2 y = x - 7 intersect at the point P. Find... (answered by mananth)

Point of intersection of the lines whose equations are y=-1/2x+3 and... (answered by josmiceli,richwmiller)

Draw the graphs of 2x-y-1=0 and 2x+y=9; write down the coordinates of the point of... (answered by Alan3354)

Find the coordinates of the point of intersection of the equations x = -2 and y... (answered by janinecb)