MATHEMATICS MIDDLE SCHOOL

Solve the system of equations: 4x+1=5(x−3y)−6

3(x+6y)+4=9y+19

Answers

Answer 1
Answer:

The solution of the system 4x + 1 = 5(x - 3y) - 6 and 3(x + 6y) + 4 = 9y + 19 is x = 16/3 and y = -1/9.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

To solve the system of equations:

4x + 1 = 5(x - 3y) - 6

3(x + 6y) + 4 = 9y + 19

We will first simplify each equation by expanding the brackets and combining like terms:

4x + 1 = 5x - 15y - 6

- > 4x-5x = -15y-6-1

-> -x = -15y-7

-> x = 15y+7

3x + 18y + 4 = 9y + 19

-> 3x+9y=15

-> x+3y=5

Now we have two equations:

x = 15y + 7

x + 3y = 5

We can substitute the expression for x in the second equation:

15y + 7 + 3y = 5

Simplifying and solving for y, we get:

18y = -2

y = -1/9

Now that we know y, we can substitute this value back into either equation to solve for x. Let's use the first equation:

x = 15y + 7

x = 15(-1/9) + 7

x = 16/3

Therefore, the solution to the system of equations is:

x = 16/3 and y = -1/9.

To learn more about the system of equations;

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Answer 2
Answer:

Answer:

x = 15y + 7

x = -3y + 5

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What is 235,000 rounded to the nearest hundred thousand

Answers

To round to the nearest hindered thousand in 235,000 you would underline the number in the ten thousand place. In this case it's 3. Then you look at the number you've underlined and if it is over 5 then you round the miner in front of it up by 1 if it is under 5 then you leave it the same and all the numbers after it becomes zeros

Susan rode her bike 30 kilometers in 2.5 hour. How fast did she ride her bike in kilometers per hour

Answers

The answer is 12. All you had to do was divide. 
So, 30 divided by 2.5 equals 12.
I hope this helps!
speed= distance : time
= 30 : 2.5
= 12

answer: 12 km/h

Are the following figures similar?No; the corresponding angles are not congruent
No; the corresponding sides are not proportional
Yes; the corresponding angles are congruent
Yes; the corresponding sides are proportional

Answers

Answer:

No; the corresponding angles are not congruent

Step-by-step explanation:

Two figures are similar when they have proportional corresponding sides and congruent corresponding angles.

Trapezoid ABCD has two right angles B and C, obtuse angle A of measure 137° and acute angle D of measure 43°.

Trapezoid EHGF has two right angles G and F, obtuse angle E of measure 136° and acute angle H of measure 44°.

Since obtuse angles and acute angles are not congruent, trapezoids ABCD and EHGF are not similar

A Sports arena covers 710,430 square feet of ground. A newspaper reported that the arena covers about 700,000 square feet of ground. To what place value was the number rounded?

Answers

Answer:

The number was rounded to the nearest ten thousand.

Step-by-step explanation:

In situations when you don't need an exact result, you can round numbers. When you round numbers, you always round to a particular place value, such as the nearest ten thousand. If you round up or down it usually depends on which number is closest to your original number. When a number is exactly between two possible numbers, it is rounded to the largest number.

Rounding 710,430 to 700,000 means doing so to the nearest ten thousand.

In this case there was a reduction of 10,430 (710,430 - 700,000) because 10,430 is less than half of 100,000.

Hope this helps!
It was rounded to the nearest Ten thousands.(710,430)

Hope i helped!!!!:D

Which of these numbers is between 1 and 3/4

Answers


No number on your list of choices is between 1 and 3/4 .

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x+2y=-7
x-5y=7

Answers

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\left\{\begin{array}{ccc}x+2y=-7\nx-5y=7&|multiply\ both\ sides\ by\ (-1)\end{array}\right\n\underline{+\left\{\begin{array}{ccc}x+2y=-7\n-x+5y=-7\end{array}\right}\ \ \ \ |add\ both\ sides\ of the\ equations\n.\ \ \ \ \ \ \ \ 7y=-14\ \ \ \ |divide\ both\ sides\ by\ 7\n.\ \ \ \ \ \ \ \ \boxed{y=-2}\n\nput\ the\ value\ of\
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