Question

Without graphing, name the ordered pair where the graphs of the two linear equations intersect.

(Below is the system.)

{ x = 2
y = -3

Without graphing, name the ordered pair where the graphs of the two linear equationd intersect.

(Below is the system.)

{ y = 2
x + 2y = 10

For this second problem, I found that the x and y intercepts for x + 2y = 10 should be -1 and 5, respectively. However, I'm stumped on both problems as to how I'm supposed to handle the linear equations like "y = 2." If I could have some assistance with that, that would be great! :)

Answer 1

these are just vertical or horizontal lines.

clearly, the first set of equations intersect at (2,-3)

The second intersect where y=2
so, plugging that into the second equation,
x+2*2=10
x = 6
and they intersect at (6,2)

Having said that, and solved the systems, go ahead and graph the lines to get more of a feel for how they work.

Answer 2

hey steve its been a while