Answer:
Probability is: 
Step-by-step explanation:
From a deck of 52 cards there are 26 black cards. (Spades and Clubs).
Also, there are 26 red cards. (Hearts and Diamonds).
First, we determine the probability of drawing a black card.
P(drawing a black card) =

Now, since we don't replace the drawn card, there are only 51 cards.
But the number of red cards is still 26,
∴ P(drawing a red card) =

Now, the probability of both black and red card =

Hence, the answer.
y = 3/2x is the answer for this problem.
No next time ask nicely instead of “and answer the question that follow”
To substitute, solve for one variable and then plug it into the other equation you have. In this problem, y is already solved for on the top equation (y=x+2), so you just stuff it into the second equation.
y = x + 2
3y = 4x - 2
3(x + 2) = 4x - 2
3x + 6 = 4x - 2
-x = -8
x = 8
y = x + 2 = 8 + 2 = 10
solution:
x = 8
y = 10
hope this helps!! :)
Answer:
Step-by-step explanation:
I've enclosed a graph to show you that there is one solution.
-4x + 3y = - 12
<u>- 2x + 3y = - 18</u><em><u> </u></em><em> </em>Subtract
-2x = 6 Divide by - 2
-2x/-2 = 6/-2
x = - 3
- 4x + 3y = - 12
-4(-3) + 3y = - 12
12 + 3y = - 12
3y = - 12 - 12
3y = - 24
3y/3 = - 24/3
y = - 8
Which is exactly what the graph shows.
You can tell immediately that this has 1 or more solutions just by looking at the number in front of x and y in each each equation.
It's always a good idea to graph a question like this one. Desmos is a pretty good tool to use if you don't have a graphing calculator.
The y's are the same so you are 1/2 way home in saying what you did.
The x's are different so that means you have at least 1 solution.