Answer:
(x, y) = (1, 1/3)
Step-by-step explanation:
The x-coefficient in the first equation is -2 times that in the second equation, so adding twice the second equation to the first will eliminate x:
(4x -9y) +2(-2x +3y) = (1) +2(-1)
-3y = -1 . . . . simplify
y = 1/3 . . . . . divide by -3
The y-coefficient in the first equation is -3 times the y-coefficient in the second equation, so adding 3 times the second equation to the first will eliminate y:
(4x -9y) +3(-2x +3y) = (1) +3(-1)
-2x = -2 . . . . . . simplify
x = 1 . . . . . . . . . divide by -3
The solution is (x, y) = (1, 1/3).
Answer: 94.5
Step-by-step explanation:
9/2 × 21/4
Get common denominator
9 × 2 =18
2 × 2 = 4
18/4 × 21/4
21 × 18 = 378
378/4 = 94.5
Answer:
-259
Step-by-step explanation:
The horizontal beams are what I like to think of as "rail road tracks". The metal portion of the tracks anyway. Notice how angle 2 and angle 8 are inside the tracks, so we consider them "interior angles"
Furthermore, they are on opposite or alternate sides of the transversal line. The transversal line is the non-parallel line that cuts through the "rail road tracks".
Put those two facts together and we get "alternate interior angles" as our final answer
