We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+1
72
1
avatar

Find the intersection of the lines 9x-4y=6$ and $7x+y=17$. Express your answer as an ordered pair $(x,y)$.

 May 31, 2019
 #1
avatar+696 
+2

This should be extremely easy...

 

Have you learned how to solve systems of equations?
 

Whenever you try to find the intersect of two lines, just solve the systems of equations of the graph.

 

So... we will use elimination

 

9x - 4y = 6

 

7x + y = 17

 

Notice how the second equation can be multiplied by 4 to match the coefficient of y in the first equation.

 

So we have

 

9x - 4y = 6

 

28x + 4y = 68

 

Now we add the equations

 

37x = 74

 

x = 2

 

So we know that y = 3

 

So our answer is (2, 3)

 May 31, 2019

10 Online Users

avatar