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

Guest May 31, 2019

#1**+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)**

CalculatorUser May 31, 2019