Answer:
A
Step-by-step explanation:
-5x-2y=2....(1)
6x-2y=24.....(2)
multiply (2) by -1,
-6x+2y=-24....(3)
add (1)+(3)
-5x-2y-6x+2y=2-24
-11x=-22
-11x/11=-22/11
x=2
plugging in the value of x in (1)
-5(2)-2y=2
-10-2y=2
addind 10 to both sides
-2y=12
deviding both sides by -2
y=-6
so (x,y)=(2,-6)
Answer:
(1) If the GCD of 5 and 12 is 1, then they are co-prime.
(2) The sum of 5 and 12 is 7 if and only if 5 is a negative integer.
Step-by-step explanation:
(1)
The GCD (greatest common divisor) of two or more numbers, which are not all equal to zero, is the largest positive integer number which divides each of the numbers.
If the GCD of two numbers is 1, then the two numbers are known as coprime or relatively prime or mutually prime.
(2)
The sum of 5 and 12 is 7 if and only if, the number 5 is a negative integer, i.e.
-5 + 12 = 7
Answer:
x = 12
Step-by-step explanation:
Angles in a triangle add up to equal 180 degrees
Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180
( note that we just created an equation that we can use to solve for x )
we now solve for x using the equation we created
10x - 11 + 3x - 2 + 3x + 1 = 180
step 1 combine like terms
10 + 3x + 3x = 16x
- 11 - 2 + 1 = -12
we now have 180 = 16x - 12
step 2 add 12 to each side
- 12 + 12 cancels out
180 + 12 = 192
we now have 192 = 16x
step 3 divide each side by 16
16x / 16 = x
192 / 16 = 12
we're left with x = 12
X should equal 100. Hope this helps :)
