Here's how you solve this. So, x+y=2, right? Let's isolate x. x+y-y=2-y. x=2-y. NOW, if x=2-y, in 3x+2y=5, we can REPLACE x with 2-y and use it to solve for y! 3x+2y=5. 3(2-y)+2y=5. (3*2)+(3*-y)+2y=5. 6+(-3y)+2y=5. 6+(-y)=5. 6+(-y)-6=5-6. -y=-1. -y/-1=-1/-1. y=1.
So, if y=1, we can substitute that back into either equation--but let's go with the easier one, x+y=2. x+1=2. x+1-1=2-1. x=1. 1+1=2, so that works; let's check the other equation. 3(1)+2(1)=5. 3+2=5. 5=5. That's correct!
Answer: x=1, y=1
3rd one I think tho it may not be accurate
Potato Flakes: 2 cups
Boiling Water: 1 1/2 cups
Answer: 8/33
Step-by-step explanation:
So the probability of picking a purple marble is 8/12, after that there are 11 marbles left in the box
Now the probability of picking a green marble without placing the first marble back is 4/11
So the probability of doing both is 8/12 x 4/11 = 8/33
Answer:
The solution is (2, -2)
Step-by-step explanation:
In order to solve this, multiply the second equation by -5 and then add through.
5x - 4y = 18
-5x - 15y = 20
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-19y = 38
y = -2
Now that we have the value of y, we can solve for x.
x + 3y = -4
x + 3(-2) = -4
x - 6 = -4
x = 2