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Eva8 [605]
1 year ago
15

6x + 4y=10 12x + y= -29

Mathematics
1 answer:
Olin [163]1 year ago
3 0

Answer: x=-3    y=7.

Step-by-step explanation:

\displaystyle\\\left \{ {{6x+4y=10\ \ \ \ \ (1)} \atop {12x+y=-29\ \ \ \ (2)}} \right.\\  We\  multiply\  both\  sides\  of\  equation\  (1)\  by\  -2:\\\left \{ {{(-2)*6x+(-2)*4y=(-2)*10} \atop {12x+y=-29}} \right. \\\\\left \{ {{-12x-8y=-20} \atop {12x+y=-29}} \right. \\We\  summarize\  equations\  (1)\  and\  (2):\\-7y=-49\\-7*y=-7*7\\Divide\  both\  sides\  of\  the\  equation\  by\  -7:\\y=7.\\We\  substitute\  the\  value\  of\  y\  into \ equation\  (1):\\6x+4*7=10\\6x+28=10\\6x+28-28=10-28\\6x=-18\\6*x=6*(-3)\\Divide\  both\  sides\  of\  the\  equation\  by\  6:\\x=-3.

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scoray [572]
1/10
All you have to do is divide the numerator by the denominator
In this case 1 divided by 10 = 0.1
Hope this helps
5 0
2 years ago
Drew has 50 red,green,and blue marbles. he has six more red marbles than blue marbles and four fewer green marbles than blue mar
astraxan [27]

Red = r

Blue = b

Green = g


Step 1: Write as algebraic equations.

r = b + 6

g = b - 4


Step 2: Merge the two equations together to form one, by adding them together.

r + g = b + b + 6 - 4


Step 3: Simplify.

r + g = 2b + 2


Step 4: Make b the subject.

2b + 2 = r + g

2b = r + g - 2

b = 0.5(r + g - 2)


ANSWER

b = 0.5(r + g - 2)

3 0
2 years ago
Fill in the y values of the t-table for the function<br> y=3√x.
Lorico [155]

The table of values of the function y = ∛x is

x      y

-8    -2

-1      -1

0      0

1       1

8     2

<h3>How to fill in the y values?</h3>

The function is given as:

y = ∛x

When x = -8, we have:

y = ∛-8 = -2

When x = -1, we have:

y = ∛-1 = -1

When x = 0, we have:

y = ∛0 = 0

When x = 1, we have:

y = ∛1 = 1

When x = 8, we have:

y = ∛8 = 8

So, the table of values is

x      y

-8    -2

-1      -1

0      0

1       1

8     2

Read more about cubic functions at:

brainly.com/question/20896994

#SPJ1

7 0
2 years ago
Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
krok68 [10]

Answer:

|p-q|-(|p|-|q|) = 20

Step-by-step explanation:

First let's find the value of 'p-q':

p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\

To find |p-q| (module of 'p-q'), we can use the formula:

|ai + bj| = \sqrt{a^{2}+b^{2}}

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25

Now, we need to find the module of p and the module of q:|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15

|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10

Then, evaluating |p-q|-{|p|-|q|}, we have:

|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20

7 0
2 years ago
Reduce the rate 210 miles per 3 hours to it's unit rate and write the miles portion of your answer
Rus_ich [418]

unit rate would be miles per hour

 so divide 210/3 = 70

 

6 0
2 years ago
Read 2 more answers
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