Answer:
(-6,-2)
Step-by-step explanation:
Hello! Lets get started!
By looking at this problem, we see that both equations equal 2. This makes this problem much easier!
While there are a few methods you could solve this, I will use substitution. First, I need to find what x is in terms of y!
There are many different ways you could do this, here are two:
-x = 2-2y ==> x = -2+2y
-x + 2y = -3x + 8y ==> 2x = 6y ==> x = 3y
For this problem, I am going to use the second answer, x = 3y, as it is simpler!
We need to substitute 3y in for x in either equation; I am going to use the first equation, -x + 2y = 2.
-3y + 2y = 2
-y = 2
y = -2
Now, lets solve for x!
-x + 2(-2) = 2
-x - 4 = 2
-x = 6
x = -6
After plugging the answers into both equations, we see that they are in fact true!
Therefor, our final answer is (-6, -2)
Answer:
(1/9)
Step-by-step explanation:
Mary can choose from white,red,or pink construction paper to create a heart.
And she can use black, blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.
The probability that her valentine to her friend will be on either red or pink construction paper with black marker and gold glitter.
The probability that she uses red or pink construction paper = (2/3)
(since red or pink are two out of the total 3 sample spaces available for construction paper)
Probability that she uses black marker = (1/3)
(Black is one of the 3 sample spaces for markers)
Probability that she uses gold glitter = (1/2)
(Gold glitter is one of two sample spaces for glitters)
The required probability is then
(2/3) × (1/3) × (1/2) = (1/9)
Hope this Helps!!!
Answer:
slope = 2 because it goes up by 2 and across 1
10 = 2(1)+b
10=2+b
-2 -2
b = 8
y intercept = 8
equation: y = 2x+8
yes it is proportional because it has a constant rate of change or slope
Answer:
it is 3
Step-by-step explanation: