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

Guest Mar 20, 2021

#1**+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.

ArithmeticBrains1234 Mar 20, 2021

#1**+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