Can you Solve the system :)

x +y= 4
3x −5y= −52
7x−17y=−164


x =
y =

You have three equations in two unknowns. Unless all three lines go through a single point, you can't solve this system.

Let's see where the first two intersect:
x+y = 4
3x - 5y = -52
Multiply the first equation by 5 and add to the second to eliminate y:
(3x - 5y) + 5(x+5) = -52 + 20
8x = -32
x = -4
Plugging that back into equation 1, we find that y = 8, giving us the intersection (-4,8)



Now, where do equations 1 and 3 intersect?
x + y = 4
7x - 17y = -164
Add 17 times equation 1 to equation 3 to eliminate y:
(7x - 17y) + 17(x + y) = -164 + 68
24x = -96
x = -4
Plugging that back into equation 1, we find that we have the same intersection as before, (-4, 8).


So, yes, this system can be solved. All three equations are solved by the ordered pair (-4, 8).

x=-4 and y=8. If u plug those into the equation it should work. I got my answer by adding a 0z to the three system of equation

X--- -4. Y --- 8

Why don't you?

What don't you understand?

x=-4
y=8

yes, yes I can