Solve the system of equations by elimination: 3x+y=5 2x-2y=-2 NO LINKS PLEASE

2 answers:

4 0

First divide both sides of 2x-2y=-2 by 2 to get x-y=-1. Now, you can simply add the equations together and you’d get 4x=4. Divide both sides by 4 to get x = 1. Then, plug in the 1 to one of the original equation (I used 2x-2y=-2):
2(1)-2y=-2
2-2y=-2
-2y=-4
y=2

So x = 1 and y = 2! :) hope this helps

nalin [4]2 years ago

4 0

Answer: (1, 2)

x = 1 and y = 2

Step-by-step explanation:

3x + y = 5 Multiply this equation by 2 => 6x + 2y = 10

2x -2y = -2 => + 2x - 2y = -2

8x = 8

**divide both sides by 8 => x = 1

*** substitute 1 for x in either equation to get y

3(1) + y = 5

-3 -3

y = 2

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A printer takes 30 minutes to print a banner and a poster. I will take 50 minutes to print a banner and three posters. How long

qwelly [4]

Answer:

It takes the printer 20 minutes to print a banner

Step-by-step explanation:

Notice that there are two unknowns in this problem: the time to print a poster and the time to print a banner. Let's assign the letter "b" to the time it takes to print a banner, and "p' the time it takes to print a poster.

So we can write the following two equations involving the total amount of time that takes to print in the two cases:

$b+p=30\\b+3p=50$

We can solve for the unknown "p" by subtracting term by term in the equation set above:

$b+3p=50\\b+p=30\\\\b-b+3p-p=50-30\\2p=20\\p=10$

So it takes 10 minutes to print each poster, we can find the time it takes to print the banner by using the value we just found in one of the equations:

$b+p=30\\b+10=30\\b=20$