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stiks02 [169]
3 years ago
5

Solve the system of equations -7x - 6y = 4 x= -3y + 8

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0
You can use the substitution method for this problem
Since -3y+8=x you can
Use the equation -7(-3y+8) -6y=4
You then distribute and solve
21y-56-6y=4
15y=60
Y=4
You then plug y into one of the original equations
X=-12+8
X=-4
(-4,4)
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Find the values of x and y
julsineya [31]

Answer:

y = 70 degrees

x = 11

Step-by-step explanation:

The side opposite x + 2 is equivalent so they will both be equal to 13.

To get the meaning of x, simply subtract 2 from 13 giving you x = 11.

Y is across from corner C, which is 70 degrees. These angles are equivalent to each other, meaning that angle y is also 70 degrees.

Hope this helps you :)

4 0
3 years ago
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Duolingo assigned you 20 assignments over the weekend. You completed 4/5 of the assignments. How many assignments did you comple
ValentinkaMS [17]

Answer:

19.2

Step-by-step explanation:

7 0
2 years ago
9 / 3/4 into a improper fraction
sleet_krkn [62]

Answer:

39/4

Step-by-step explanation:

Step 1 - Setup

First, we set up the mixed number 9 3/4 with different colors, so it is easy to follow along:

9

   3  

   4  

Step 2 - Multiply

Next, we multiply the whole number by the denominator.

9 x 4 = 36

Step 3 - Add Numerator

Then, we add the numerator to the answer we got in Step 2.

36 + 3 = 39

Step 4 - Solution

Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 9 3/4 as an improper fraction is:

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5 0
3 years ago
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Write the equation of a line that is parallel to 2y=x-10 passing through (2,1)
MariettaO [177]

the line that is parallel will be y = 1/2x

6 0
3 years ago
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Given that OA = 2x + 9y , OB = 4x + 8y and CD = 4x - 2y , explain the geometrical relationships between the straight line AB and
slava [35]

The geometrical relationships between the straight lines AB and CD is that they are parallel to each other

<h3>How to determine the relationship</h3>

It is important to note the following;

  • A drawn from the origin and passes through point A (a , b), then the equation of OA = ax + by
  • If a line is drawn from the origin and passes through point B (c , d), then the equation of OB = cx + dy

We  find the equation of AB by subtracting OB from OA, thus AB = (c - a)x + (d - b)y

The slope of line AB =

⇒ OA= 2 x + 9 y

⇒ OA = 4 x + 8 y

⇒AB = OB - OA

⇒AB = (4 x + 8 y) - (2 x + 9 y)

⇒ AB = 4 x + 8 y - 2 x - 9 y

Collect like terms

⇒ AB = (4 x - 2 x) + (8 y - 9 y)

⇒AB = 2 x + -y

⇒ AB = 2 x - y

⇒ Coefficient of x = 2

⇒ Coefficient of y = -1

⇒ The slope of ab = \frac{-2}{-1} = 2

For CD

⇒ CD = 4 x - 2 y

⇒Coefficient of x = -4

⇒ Coefficient of y = -2

⇒The slope of cd = \frac{-4}{-2} = 2

Note that Parallel lines have same slopes

And Slope of ab = slope of cd

AB // CD

Therefore, the geometrical relationships between the straight lines AB and CD is that they are parallel to each other

Learn more about parallel lines here:

brainly.com/question/24607467

#SPJ1

4 0
2 years ago
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