Answer: The first equation should be multiplied by 9 and the second equation by −4, to eliminate the y-terms and solve for x in the fewest steps.
Step-by-step explanation:
Given : Equation (1) 5x − 4y = 28
Equation (2) 3x - 9y = 30
to eliminate the y-terms and solve for x in the fewest steps, we should multiply equation (1) by 9 and equation (2) by -4 such that
9(5x − 4y) =9 (28)⇒45x-36y=252
-4(3x - 9y) = -4(30)⇒ -12x+36y= -120
Now adding both equations, y-term eliminated and we get, 45x-12x=132
⇒33x=132⇒x=4.
Answer:
D) 117
Step-by-step explanation:
All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.
Answer:
C ) 44, 65
Step-by-step explanation:
Please find attached a solved pattern.
The labelled alphabet, tells you the number of columns and Number of dots in the middle.
a1 will have 1 middle dot and 1 column
a2 will have 2 middle dots and 2 columns
a3 will have 3 middle dots and 3 columns.
a4 will have 4 middle dots and 4 columns
a5 will have 5 middle dots and 5 volumns
The middle dot, serve as a demarcation.
What ever appears on the left of the middle dot, must appear at the right of it.