MATHEMATICS MIDDLE SCHOOL

What is the solution to the system of equations?
3x-2y=19
Y=x-7

Answers

Answer 1
Answer:

Greetings!

Answer:

x = 5 and y = -2

Step-by-step explanation:

Here you have given what y is equal to, this means you can sub this into the first equation:

3x - 2(x - 7) = 19

Expand the brackets:

-2 * x = -2x

-2 * -7 = 14

3x -2x +14 = 19

Move the +14 over to the other side making it a -14:

3x - 2x = 19 - 14

3x - 2x = 5

3x - 2x = x

So x = 5

Now sub this into the first equation:

3(5) - 2y = 19

15 - 2y = 19

Move the -2y over to the other side making it a +2y, and move the +19 over to the other side making it a -19:

15 - 19 = 2y

-4 = 2y

Divide both sides by two:

y = -2

So x = 5 and y = -2


Hope this helps!

Related Questions

Which set of points lies on the given graph?A.(5, 13), (1, 1), (2, –1)B.(5, 13), (–1, 1), (2, 1)C.(–5, 13), (1, 1), (2, –1)D.(–5, 13), (1, 1), (2, 1)Please explain and give answer that would be much appreciated :)
What is the combined height of 3 nickels, 2 nickels and 1 nickels
Three decimal places that when rounded to the nearest hundredth round to 4.56
What series of transformations would carry trapezoid ABCD onto itself? (x + 0, y − 4), 90° clockwise rotation, reflection over the y-axis (x + 0, y − 4), 180° rotation, reflection over the y-axis (x + 6, y + 0), 90° clockwise rotation, reflection over the x‐axis (x + 6, y + 0), 180° rotation, reflection over the x‐axis
I really need help please

Plz help me with this

Answers

This question is not even trying to test your arithmetic.  It's just testing
to see whether you know how to read numbers in words properly.

When you read numbers in words, the only time you ever say "and"
is for a decimal point.  There are no decimals in this question, so the
"and" is not a part of any numbers.

The question gives you two numbers. The word "and" is the marker
that's BETWEEN them.  The two numbers are 1,300 and 950 .

The first thing the question wants you to do is write the numerical
expression for all the words.  That's    (1300 - 950) / 4 .

The next thing you're supposed to do is"evaluate the expression" ...
find out what number it all boils down to.  I don't think you'll have
any trouble with that now.

Divide. Draw a quick picture. 143 divided by 11

Answers

A 143 divided by 11 equals 13.

To calculate 143 divided by 11 using long division, follow these steps:

  • Place the dividend (143) inside the long division symbol, and write the divisor (11) outside the symbol.
  • Check how many times 11 can be divided into the first digits of the dividend (1). The result is 1 because 11 * 1 = 11, and this is the largest multiple of 11 that fits into 14 (the first two digits of 143).
  • Write the result (1) on top, above the 4 (the first digit of 143).
  • Multiply 11 by 1 (the quotient), which equals 11, and write the result under 14.
  • Subtract 11 from 14 (14 - 11 = 3).
  • Bring down the next digit (3) to form 33.
  • Check how many times 11 can be divided into 33. The result is 3 (11 * 3 = 33).
  • Write 3 on top, above the 3.
  • Multiply 11 by 3, which equals 33, and write the result under 33.
  • Subtract 33 from 33 (33 - 33 = 0).
  • As there's no remainder and all the digits have been brought down, the final result is 13. So, 143 divided by 11 equals 13.

To know more about divided:

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143 divided by 11 equals 13

How many times does 16 go into 40

Answers

A 16 can fit into 40 two times without any remainder. The division result is 2, indicating that 16 goes into 40 two whole times.

To find how many times 16 goes into 40, we perform division. The quotient represents the number of times 16 can fit completely into 40.

Step 1: Perform the division:

40 ÷ 16 = 2.5

Step 2: Interpret the result:

The quotient is 2.5, which means 16 can go into 40 two whole times, with a remainder of 0.5 (half). However, we cannot have a fraction of a time in this context, so we need to consider only the whole number part of the quotient.

Step 3: Final answer:

16 goes into 40 two whole times.

In summary, 16 can fit into 40 two times without any remainder. The division result is 2, indicating that 16 goes into 40 two whole times. This calculation involves dividing the dividend (40) by the divisor (16) to find how many times the divisor fits completely into the dividend.

To know more about remainder:

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2.5 times.

40 divided by16 equals 2.5
 Hope that helped!

What is the equation for x=-3 and y=-7

Answers

Answer:

-7 = -3x + b

Step-by-step explanation:

i'm guessing because you have not provided a visual so i can not determine the B.

Persons younger than 18 years old are not eligible to vote. Let a be age in years. Which inequality models this situation?

A.
a < 18 and a may be a negative number

B.
a < 18 and a must be a positive number

C.
a > 18 and a may be a negative number

D.
a > 18 and a must be a positive number

@lloveonedirection

Answers

Younger than = less than

Less than symbol = <

People cannot have a negative age, so a must be positive

B. a < 18 and a must be a positive number

Steve made a sign for his room that is shaped like a triangle. It is 4.5 feet long and 3 feet high. He wants to make another sign that is shaped like a triangle and similar to the first sign. The new sign will be 4 feet high. Part A Write a proportion that Steve can use to find the length, x, of the new sign.

Part B What is the length, in feet, of the new sign?

Answers

Answer:

Part A)    Using cross product x= 4.5*4/3

Part B )    x= 4.5*4/3= 18/3=6 Feet

Step-by-step explanation:

Length : Height

4.5        :     3

x           :     4

Part A)      Using cross product x= 4.5*4/3

Part B )    x= 4.5*4/3= 18/3=6 Feet

Answer:

I am not american, so I don't know if this is correct or now. You times 10*15 to get the surface area of one wall. Then you times that by 4 to get four walls. I think the answer is 600 ft

Step-by-step explanation:

hope it helps
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