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3 years ago

3x - 3y = 9 and x + 3y = 12 Elimination

Mathematics

1 answer:

Firlakuza [10]3 years ago

8 0

Answer:

$x=5.25,y=2.25$

Step-by-step explanation:

We can add the two equations to eliminate the variable $y$ and solve for $x$ :

$3x-3y+x+3y=9+12$

$4x=21$

$x=5.25$

Now, we can use substitution to solve for $y$ :

$x+3y=12$ (given)

$5.25+3y=12$

$3y=12-5.25$

$=6.75$

$y=2.25$

Hope this helps :)

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Which equation justifies why 93-3√9?

Simora [160]

Considering the conversion from exponent to radical, the equation that justifies why the expression $9^{\frac{1}{3}} = \sqrt[3]{9}$ is correct is.

$(9^{\frac{1}{3}})^{3} = 9^{\frac{3}{3}} = 9$

<h3>How is the conversion from exponent to radical realized?</h3>

The conversion of rational exponents to radical notation is modeled by:

$a^{\frac{n}{m}} = \sqrt[m]{a^n}$

In this problem, the expression is:

$9^{\frac{1}{3}} = \sqrt[3]{9}$

And the equation that shows that this is correct is:

$(9^{\frac{1}{3}})^{3} = 9^{\frac{3}{3}} = 9$

More can be learned about the conversion from exponent to radical at brainly.com/question/19627260

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3 years ago

How many solution are there to the equation below -46=3×+7

Archy [21]

Answer:

Only one

Step-by-step explanation:

46=3x+7 /-7

39=3x /:3

13=x

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4 years ago

There are 2 different shops selling laptops. The dot plots below shows the distribution of laptops based on their weights in 2 d

ale4655 [162]

Answer:

On an average, the shop 1 has a lighter variety of laptops.

False

If you buy a laptop of 10 pounds, then it's more likely that you bought the laptop from shop 1.

False

Shop 2 has more laptops with a weight less than the average weight than does Shop 1.

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3 years ago

I need a riddle with this number 5109

dezoksy [38]

You get this number when multiplying the numbers of 1703 and 3

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3 years ago

Kaitlyn drove 360 miles in 9 hours. If she continues driving at the same speed, how far will she have driven in 11 hours?

stellarik [79]

Answer:

440 miles

Step-by-step explanation:

First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.

Hope this helps! :)

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2 years ago