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