MATHEMATICS MIDDLE SCHOOL

I need to solve for x and y. Any help is greatly appreciated! Thank you!

Answers

Answer 1

Answer:

x=-3, y=1

Step-by-step explanation:

Given equations are:

2x-3y=-9 Eqn 1

x+y = - 2 Eqn 2

From eqn 2:

$x=-y-2$

Putting x=-y-2 in eqn 1

$2(-y-2)-3y=-9\n-2y+4-3y=-9\n-5y-4=-9\nAdding\ 4\ on\ both\ sides\n-5y-4+4=-9+4\n-5y=-5\nDividing\ both\ sides\ by\ -5(-5y)/(-5)=(-5)/(-5)\ny=1\nPutting\ y=1\ in\ eqn\ 2\nx+1=-2\nSubtracting\ 1\ from\ both\ sides\nx+1-1=-2-1\nx=-3$

Hence,

x=-3, y=1

Keywords: Linear equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

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What is x squared minus 14x plus 49

Answers

$x^(2) -14x+49=x^2-7x-7x+49=x(x-7)-7(x-7)=\n\n=(x-7)(x-7)=(x-7)^2$

X^2-14x+49 factored:
(x-7)(x-7)

-7 x -7 is 49 and
-7 + -7 is -14

You take out a loan for $550 at a rate of 4.5% for 3 years. At the end of 3 years, how much interest has accumulated on the loan?

Answers

550 * 4.5% = 24.75

24.75 * 3 = 74.25

The loan has accumulated to $74.25

The total paid back would be $624.25

Hope I could help :)

the base price to rent a car is $60, and there is an additional cost of $2 per mile. the base price to rent a truck is $40, and their is an additional cost of $3 per mile. At how many miles will the cost be the same to rent either vehicle

Answers

Answer: At 20 miles.

Step-by-step explanation:

60 + 2m = 40 + 3m

-40

20 + 2m = 3m

-2m

20 = m

A Major League Baseball “diamond” is actually a square, 90 feet on a side. What is the distance directly from home plate to second base.

Answers

Answer:

the answer is 180 feet

Step-by-step explanation:

because it is a square all sides are equal so the distance is between two lines so you only have to add two sides: (90+90=180).

The opening of a bird's nest is in the form of a circle the opening has a diameter of 18 centimeters which measurement is closet to the circumference of the opening in centimeters

Answers

Answer:

The answer is either 18pi or 56.55

Step-by-step explanation:

The correct answer is 18 pi

Maren walks 3/5 miles in 24 minutes at a steady pace. How long does it take her to walk 2 miles.

Answers

It would take Maren 80 minutes, or 1 hr and 20 min. Just divide the 24 minutes by the 3 in the numerator, then find out how many 1/5's it takes to get 2 and multiply that by what you got as your quotient

With this, you have to set up a proportion. So find the decimal of 3/5 and set that equal to 24.
So this is what your proportion should look like: .6/24=x/2
Now you find how much she walks in one minute, so you divide .6 by 24 which is .025 of a mile. So now it will be .025 mpm. So now you multiply that by two.

She walks .05 miles in two minutes.

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