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3 years ago

Solve the following system of equations 2x + y = 3 X = 2y - 1

Mathematics

1 answer:

pishuonlain [190]3 years ago

7 0

Answer:

x = 1 , y = 1

Step-by-step explanation:

Solve the following system:

{2 x + y = 3 | (equation 1)

x = 2 y - 1 | (equation 2)

Express the system in standard form:

{2 x + y = 3 | (equation 1)

x - 2 y = -1 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y = 3 | (equation 1)

0 x - (5 y)/2 = (-5)/2 | (equation 2)

Multiply equation 2 by -2/5:

{2 x + y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 2 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 1 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 1 , y = 1

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Tonya has 39 packages. Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.

Sidana [21]

Step-by-step explanation:

If were estimating, 39 is pretty close to 40 and 40x6 is 240 pounds. if we are getting exact about it, then 234 pounds

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2 years ago

Copy the problems onto your paper, mark the given and prove the statements asked. Given: marked Prove: ΔABC ≅ ΔDBC, ΔEHF ≅ ΔGHF

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The proof is given below. Please go through it.

Step-by-step explanation:

To solve Δ ABC ≅ Δ DBC

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3 years ago

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ale4655 [162]

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3 0

3 years ago

Read 2 more answers

What’s the equation for (8,2)(0,0)

Kay [80]

Answer: y=4x

Step-by-step explanation:

We will make use of the slope intercept form to solve this question:

First of all, we have to calculate the slope from the 2 points (8,2) and (0,0).

We know that the formula for the slope is: m = (y2 - y1) / (x2 - x1)

From the question, y2 = 0, y1 =2, x1 =8 and x2 = 0.

Therefore, slope (m) = (0 - 2)/(0 - 8)

This gives us m = 2/8 and simplified further to 1/4.

The slope intercept form of the equation is y = mx + c where "m" is the slope.

Therefore substituting the value of 1/4 for "m" in the equation, we get;

y = (x/4) + c

Now to get the value of "c",let's substitute the value of x and y from the first intercept of (8,2).

We get; 2 = (8/4) + c

; 2 = 2 + c

Subtract 2 from both sides to get c = 0.

Also, when we use the value of x and y from the second intercept (0,0), we get the same value of c=0

Therefore the equation for the 2 points are y = 4x + 0 which gives y=4x

4 0

3 years ago

Answer 37, 38, and 39 and make sure to answer with either the letter or with one of the answers shown! SHOW YOUR WORK PLEASE!!

ollegr [7]

Answer:

I didn't even realize until I had written all of the answers down that they are all C.

37 = C. 15%

38 = C. 2 $x^{3}$

39 = C. 48

Step-by-step explanation:

37: I used process of elimination to figure out which percentage of decrease it was by just multiplying 42 by each percentage until I got 6.3 which is what you need to subtract from 42 to get 35.7, so the answer is C, or 15%.

38: A coefficient is the number that is being multiplied by the variable, which in this case is "x". So whatever answer involves "2x" is the correct answer. Therefore the answer is C, or 2 $x^{3}$ .

39: You have to add the amount of money Henry paid for painting supplies and how much profit he mad to figure out how much money he really made. 400 + 560 = 960 and he charges $20 for each painting so you need to divide 960/20 to get your answer, which is C, or 48.

8 0

3 years ago