We can solve for both x and y of System A and B to compare the values of x.
System A. Multiply by 4 the first equation and add both equations,
12x + 8y = 12
+ -2x - 8y = -1
We will be left with equation,
10x = 11
The value of x is 11/10
System B. Multiply the first equation by -2 and add the equations,
2x + 28y = -2
+ -2x - 8y = -1
We will be left with 20y = -3. Substitute the value of y to any of the equations. This gives a value of x equal to 11/10.
The answer therefore is that both systems will have the same value of x's.
Answer:
x = (k-c)/8
Step-by-step explanation:
8x+c= k
Subtract c from each side
8x+c-c= k-c
8x = k-c
Divide each side by 8
8x/8 = (k-c)/8
x = (k-c)/8
If the two angles are a linear pair, this means that they are supplementary and both add up to 180 degrees. So set up the equation:
3x + 7 + 9x + 17 = 180
--> 3x + 9x + 17 + 7 = 180
--> 12x + 24 = 180
-->12x = 180 - 24 = 156
-->156/12 = 13, so x = 13
Plug in the x value:
3(13) + 7 = 46 degrees
9(13) + 17 = 134 degrees
To check your work, 134 + 46 = 180.
Your answer is A.
Answer:
x = 299/6
y = 60 - (299/6)
Step-by-step explanation:
-5(60-x) = -1 - x
-300 + 5x = -1 - x
6x = 299
x = 299/6
y = 60 - (299/6)