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Firdavs [7]
3 years ago
11

Show your work for full credit Use the SUBSITUTION method or ELIMINATION method to solve this system of equations:

Mathematics
1 answer:
Reptile [31]3 years ago
3 0

Answer

x = 3, y = -1

Step-by-step explanation:

i used substitution because i find that easier most times so here goes:

x + 6y = -3

    - 6y

x = -6y -3

now we have an "x=" to plug into the "y=" we will get ina second

2x + 3y = 3

-2x

3y = -2x + 3

divide the whole thing by 3 to get y by itself. you get:

y = -2/3x + 1

now plug in what you got for x, which was (-6y-3), into the x. so:

y = -2/3(-6y - 3) + 1

now you multiply the -2/3 by the -6y and the -3. when you distribute that you get

y = 4y + 2 + 1

then combine like terms by adding 2 + 1 to get 3 and subtracting the y on the right from the 4y on the left to get

= 3y + 3

since you cant have an empty side of the equal sign, move the 3y over to the left side by subtracting it. you get

-3y = 3    now divide everything by -3 to get y = -1

now you have your y variable so now just plug that into the original equation to get x + 3

HOPE THIS HELPS!!!

if you have more questions or didnt understand something, please let me know!! ill explain it!!

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it confuses me when i have to fill in the in between i just dont quite understand how to work it out please explain it clearly
prisoha [69]

<em>Make the unknown numerator be x and unkown denominotor be y</em>

<em>We have :  7 - </em>\frac{x}{y} = 6\frac{4}{5}

            =>       \frac{x}{y} = 7 - 6\frac{4}{5}

                       \frac{x}{y} = \frac{1}{5}

<em>So we need to fill in the box :</em> \frac{1}{5}

<em>If the answer is helpful, Brainliest please!</em>

8 0
3 years ago
Solve the equation e/3 = 7 e= (answer)
Bond [772]

Answer:

21

Step-by-step explanation:

e/3 = 7 you can rewrite as e/3 = 7/1 and cross multiply e*1 = 3*7 so e= 21

5 0
3 years ago
The Summer Olympics were held in St. Louis 92 years before the Summer Olympics were held in Atlanta. In what year were the Olymp
andrezito [222]
1904 write if not just subtract 92 from 96 and you have your answer hope that helps
7 0
3 years ago
Read 2 more answers
there are a total of 100 balloons.if the ratio of yellow balloons to blue balloons is 8 to 12,how many of them are yellow?
IrinaK [193]
The ratio of yellow balloons to blue balloons is 8:12
Then there are 100 balloons. Making the equation, we are able to have:
8X + 12X = 1000
20x = 1000
X = 50.

Yellow balloons = 8x = 8 * 50 = 400 yellow balloons
Blue balloons = 12X = 12 * 50 = 600 blue balloons

So there are  400 yellows balloons.
8 0
3 years ago
Victor is y years old. His 9-year-old sister Marsha is 4 years younger than he is. Write an equation to represent this situation
Maurinko [17]
Victor = y years old
Marsha = 9 years old
Marsha is 4 years younger than Victor.

Answer: y = 9 + 4
7 0
3 years ago
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