Answer:
The graphs of the equations 4x - y = 6 and x + y = 4 intersect at the point whose coordinates are (2,2)
Step-by-step explanation:
The graphs of the equations 4x - y = 6 and x + y = 4 intersect at the point whose coordinates are?
We need to find the values of x and y by solving the system of equations.
The values of x and y are the point of intersection of those lines.
We have:
[tex]4x - y = 6--eq(1) \\x + y = 4--eq(2)[/tex]
Adding both equations and finding value of x
[tex]4x - y = 6\\ x + y = 4\\-----\\5x+0y=10\\5x=10\\x=\frac{10}{5}\\x=2[/tex]
We get, the value of x: x=2
Now, putting value of x in equation 2 to find value of y:
[tex]x+y=4\\Put\:x=2\\2+y=4\\y=4-2\\y=2[/tex]
So, we get y=2
Therefore we get x=2 and y=2
The solution set is: (2,2)
So, The graphs of the equations 4x - y = 6 and x + y = 4 intersect at the point whose coordinates are (2,2)
