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Find the intersection of the lines $9x-4y=30$ and $7x+y=11.$ Express your answer as an ordered pair $(x,y).

 Mar 20, 2021

Best Answer 

 #1
avatar+91 
+3

For any two linear equations such as these, the intersection of the lines can be found by solving the system of equations.

 

9x - 4y = 30

7x + y = 11

 

   9x - 4y = 30

+ 28x + 4y = 44

= 37x = 74

x = 2

 

7x + y = 11

7(2) + y =11

14 + y = 11

y = -3

 

Therefore, the point of intersection is (2, -3).

Alternatively, you could have just graphed it.

 Mar 20, 2021
 #1
avatar+91 
+3
Best Answer

For any two linear equations such as these, the intersection of the lines can be found by solving the system of equations.

 

9x - 4y = 30

7x + y = 11

 

   9x - 4y = 30

+ 28x + 4y = 44

= 37x = 74

x = 2

 

7x + y = 11

7(2) + y =11

14 + y = 11

y = -3

 

Therefore, the point of intersection is (2, -3).

Alternatively, you could have just graphed it.

ArithmeticBrains1234 Mar 20, 2021

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