Answer:
(-3 , -3)
Step-by-step explanation:
A: (-1,2), B: (1,2), and C: (-1,-3) .... D: (x,y)
slope of AB = (2-2)/(1 - -1) = 0 .... parallel to x axis
x coordinate of A is 2 units left to B (-1 vs 1)
y coordinate of C is 2 units left to B so D must be 2 units left to C: -1 -2 = <u>-3</u>
DC // AB , y coordinate of D = C =<u> -3</u>
D: (-3 , -3)
3x+y=8
y=8-3x
5x+3(8-3x)=8
5x+24-9x=8
-4x+24=8
-4x=-16
x=4
5x+3y=8
5(4)+3y=8
20+3y=8
3y=-12
Y=-4
5x+3y=8
5(4)+3(-4)=8
20+-12=8
8=8
Part A:
We see that this pair of equations has 1 solution. On a graph, the solutions of 2 (or more) lines is where the lines intersect. In this case, since these lines intersect 1 time, they have 1 solution.
Part B:
As previously mentioned, the solutions of multiple lines is where the lines intersect. In this case, since they intersect at (4,4), that is the solution.
Answer:
10,20,40
Step-by-step explanation:
They all have a factor of 2,10, and 1