A system of equations has an infinite number of solutions when after solving the system, you end up with a true statement.
For example, let’s say you solve a system of equations and your result is 5=5. 5=5 is a true statement, but it doesn’t tell us anything about the x or y value solutions to the system. So because we’re only left with 5=5, there are infinite solutions to the system.
4x - 26 = 3x + 4
-3x -3x
x - 26 = 4
+26 +26
x = 30
Since the 2 angles are opposite of each other you would set them equal to each other.
For the x-int, replace y with 0
for the y-int, replace x with 0
x-int:
12x-16(0)=-48
12x=-48
x=-4
y-int:
12(0)-16y=-48
-16y=-48
y=3
Answer: y = -6x + 2
m = y_2 - y_1
/ x_2 - x_1
-10 - 8
/ 2 - (-1)
= -18/3 = -6
m (slope) = -6
y = mx + b
y = -6x +b
Find b using (-1,8)
y = -6x +b
8 = -6(-1) + b
8 = 6 + b
-6 -6
2 = b
Final answer: y = -6x + 2
To check using one of the points: (-1,8) or (2,-10)
y = -6x + 2
-10 = -6(2) + 2
-10 = -12 + 2
-10 = -10
This is a true statement.
I believe the answer either 4 or 6
Im not sure so if its wrong, sorry
