Question

type the ordered pair that is the solution to these equations.

2x+5y=-9
3x-4y=-2

Answer 1

To solve a system of linear equations like this one, you can use several methods.
One of the methods is elimination. In elimination, you need to add both equations and eliminate one variable. This is very simple if the system of equations were, for example,
x + y = 5
x - y = 1
Since you have y in one equation and -y in the other equation, simply adding them will eliminate the y's and you get
2x = 6
x = 3.

In our case, if you add the two equations, no variable will be eliminated, so we need an extra step. That extra step is to multiply one or both equations by numbers to make a variable get eliminated with addition.
Since in this problem's system of equations you have 5y and -4y, if you multiply the first equatoin by 4, the y term will become 20y. If you multiply the second equation by 5, the y term will become -20y which when added together will eliminate y.
Let's do that. Let's multiply the entire first equation by 4 and below it, we'll write the entire second equatuion multiplied by 5:
8x + 20y = -36
15x - 20y = -10
------------------ (add)
23x = -46
Divide both sides by 23:
x = -2
Now that we have x, we simply replace it in one of the two original equations.
Let's use the first equation:
2x + 5y = -9, but x = -2, so
2(-2) + 5y = -9
-4 + 5y = -9
Add 4 to both sides:
5y = -5
Divide both sides by 5:
y = -1

To check, substitute x = -2and y = -1in _both_ equations and make sure those values of x and y work in both equations.

Solution: (-2, -1)

Answer 2

Compute the requested average.

Tim Worker wants to purchase an automobile warranty costing $856.

Answer 3

What does LMAO mean?

Answer 4

u0394RST is dilated about the origin, O, to create u0394R'S'T'. Point R is located at (3, 9), and point R' is located at (1.

Answer 5

A swimming pool is 72.25 feet long and 51.5 feet wide. How much longer is the pool than it is wide?

20.

Answer 6

What was one result of the GI Bill?

Answer 7

For some jobs, the rate will be set by a minimum specified in the Fair Labor Standards Act.

Answer 8

g

Answer 9

People in opposition to multiculturalism believe it: ________. Select all that apply.

Answer 10

Victoria enjoys dance class; all girls enjoy dance class
what is the fallacy

Answer 11

Those people who favor allowing or increasing immigration levels state that newly arrived immigrants: _________.

Answer 12

In right triangle ABC,

Answer 13

What two universities did Barack Obama graduate from? Select all that apply.

Har

Answer 14

Which of the following is the most likely reason the writers of the Constitution did NOT define American citizenship?

They could not agree on a definition.

Answer 15

Math help!

Answer 16

In the diagram, u0394JKL ~ u0394MNO. What is the length of side KL?

Answer 17

Shortly after taking office, President Obama pushed through a ____ billion dollar stimulus package to get America back on its feet.

Answer 18

The Homestead Act (1862) was an example of:

a push factor
a survival tactic
a ci

Answer 19

What is the purpose of international trade?

to exchange goods and services in a

Answer 20

Paragraphs may be compared to miniature essays.

True
False

Answer 21

https://prnt.sc/j9getj