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Vikentia [17]
3 years ago
14

Solve the system of equations and choose the correct ordered pair.

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0
Hello,

To solve this system of equations, we want to add or subtract the equations so that either x or y cancels out.

We can multiply the first equation by -2, so that 5y will become -10y, and then add the equation with the second so -10y and 10y will cancel out.

Multiplying the first equation by -2, we get:
-4x - 10y = -30

Add this to the second equation and we get:
x = 5

So, we have x = 5. However, we should plug it into both equations to solve for y and make sure both answers check out.

Doing this for the first equation, we have:
2(5) + 5y = 15
10 + 5y = 15
Subtract 10 from both sides to get:
5y = 5
Divide by 5 on both sides to get:
y = 1

We will now see if x = 5 and y = 1 works for the second equation. 
5x + 10y = 35
5(5) + 10(1) = 35
35 = 35, checks out

So, x = 5 and y = 1.
Option choice B is correct.

Hope this helps!
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On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)
Aloiza [94]

The perimeter of the kite is (10 + 2√53) units if the kite and the coordinates of the kite are point W is at (-3, 3), point X is at (2, 3), point Y is at (4, -4), and point Z is at (-3, -2).

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners. Kite is quadrilateral, in which. Two pairs of congruent sides, and it has one pair of opposite congruent angles.

The figure is missing.

On a coordinate plane, kite WXYZ is shown (please refer to the picture)

We have a kite and the coordinates of the kite are:

Point W is at (-3, 3), point X is at (2, 3), point Y is at (4, -4), and point Z is at (-3, -2).

Using the distance formula we can find the distance between coordinates:

\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between W and X:

\rm WX=\sqrt{(2+3)^2+(3-3)^2}

WX = 5 units

Similarly, distance between X and Y:

XY = √53 units

YZ = √53 units

ZW = 5 units

Perimeter = sum of the all sides

Perimeter = 5 + √53 + √53 + 5

Perimeter = (10 + 2√53)  units

Thus, the perimeter of the kite is (10 + 2√53) units if the kite and the coordinates of the kite are point W is at (-3, 3), point X is at (2, 3), point Y is at (4, -4), and point Z is at (-3, -2).

Learn more about the quadrilateral here:

brainly.com/question/6321910

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4 0
2 years ago
Which number is irrational?<br><br> Did I get it correct plz help....
Diano4ka-milaya [45]

Answer:

Yes, I believe that is correct. I may be wrong.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Maggie buys 5 apples and 4 oranges for $10 and Lynn buys 5 apples and 5 oranges for $11. What is the price for an apple and what
nlexa [21]
Make 2 eqn, let a be apples and o be oranges:

1. 5a + 4o = 10
2. 5a + 5o = 11

set up an elimination:
1. minus 2.
5a + 4o = 10
- 5a + 5o = 11
____________
o = 1

sub “o” into one of the eqn

5a + 5(1) = 11
5a = 11-5
5a = 6
a = 6/5
a = 1.2

therefore, an orange costs $1.00 and an apple costs $1.20

6 0
3 years ago
Sally knows the number of hours worked per week for five of the her employees is
steposvetlana [31]

sixth person work per week=47 hours

Average:

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set

Given :

the number of hours worked per week for five of her employees is

30, 30, 38, 35, and 30.

the average work of 6 employees is  35 hours per week

Solution :

Let, Total work per week= S

sixth person work per week=x

Total work per week= Number of people x average working hour

S= 35(6) = 210..(1)

S = 30+30+38+35+30+x

S= 163+x..(2)

By equation 1 and equation 2

210= 163+x

210-163=x

47=x

sixth person work per week=47 hours

More details:brainly.com/question/2906096

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3 0
1 year ago
Multiply each polynomial <br><br> (x + 5)(x+4)<br><br> teach me step by step
lara [203]

Answer: x^2 + 9x + 20

Step-by-step explanation:

Foil Method: (a + b) (c + d) = ac + ad + bc + bd

Lets say:

a = x

b = 5

c = x

d = 4

Plugging in the numbers: xx + 4x + 5x + 5*4

Combine like terms:

xx = x^2

4x + 5x = 9x

5 * 4 = 20

You're then left with: x^2 + 9x + 20

6 0
3 years ago
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