What is -4x+y=6 and -5x-y=21 in subsitution

Answers

Answer 1

Answer: Solve for y in the first equation.
y = 4x + 6
Substitute 4x + 6 into the second equation.
-5x - (4x + 6) = 21
Distribute
-5x - 4x - 6 = 21
Combine like terms
-9x = 27
Divide both sides by -9
x = -3
Substitute back into first equation
-4(-3) + y = 6
Solve for y
y = -6

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Which statement is true if the triangular prism and the triangular pyramid have the same base and height?A.
The volume of the prism is 3 times the volume of the pyramid.

B.
The volume of the pyramid is 3 times the volume of the prism.

C.
The volume of the prism is one-third the volume of the pyramid.

D.
There is no relationship between the volumes of each shape.

Answers

A.
The volume of the prism is 3 times the volume of the pyramid.

How do you round a decimal to the nearest hundredth. Please use the problem below with steps on how to do the following action.

29/337

What I do is 29 divided by 337 and then I do not know how to make the decimal to the nearest hundredth.

Answers

Rounding decimals is very similar to rounding other numbers. If the thousandths place of a decimal is four or less, it is dropped and the hundredths place does not change. For example, rounding 0.843 to the nearest hundredth would give 0.84.

If the thousandths place is five through nine, the hundredths place is increased by one. The decimal 0.846 rounded to the nearest hundredth is 0.85.

29/337 is not a decimal and I'm not sure why you are dividing it. Please specify. :-)

What is 32.7 times 10

Answers

The answer is 327. Remember that when you multiply a number by ten, you move the decimal point to the right one place.
Hope that helped you.

32.7x10 would be 327
because since your multiplying a decimal by ten all you have to do is move the decimal over 1
So your answer is 327

Hope this helped! :))

-4x+-6y=24 how do you solve?

Answers

So,

Let's manipulate this into the y=mx + b form.

Add 4x to both sides
-6y = 4x + 24

Divide both sides by -6
$y = (4)/(-6) x - 4$

Just use the slope to find the points you need.

The y-intercept is (0,-4).

The slope is $(4)/(-6)$ . Finding the next point:
(-6,0)

You could have also used the slope intercept method.

-4(0) - 6y = 24
-6y = 24

Divide both sides by -6
y = -4
(0,-4)

-4x - 6(0) = 24
-4x = 24

Divide both sides by -4
x = -6
(-6,0)

Solving for x

Since 6y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6y from both sides.
−4x=−6y+24

Divide each term in the equation by −4.
−4x/−4=−6y/−4+24/−4

Simplify
x=3y/2+24/−4

Divide 24 by −4 to get −6.

x=3y/2−6

x is equal to 3y/2−6

You solve y the same way you solve x:

Because −4x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4x to both sides.
6y=4x+24

Divide each term in the equation by 6.
6y/6=4x/6+24/6

Simplify
y=2x/3+24/6

Divide 24 by 6 to get 4.
y=2x/3+4

y is equal to 2x/3+4

Carter needs to wrap 7 presents. He lays the ribbon out flat and says , " If I make 6 equal cuts, I'll have just enough pieces I can use one piece for each package, and I won't have any pieces left over." Does he have enough pieces to wrap all the presents?

Answers

no because there are 7 presents and 6 pieces of ribbon

Solve a math qs, please?

Answers

$-3=\frac { 3 }{ 4 } r+2\n \n -3-2=\frac { 3 }{ 4 } r\n \n -5=\frac { 3 }{ 4 } r\n \n \frac { 3 }{ 4 } r=\frac { 1 }{ 4 } \cdot 3\cdot r\n \n Multiply\quad both\quad \n sides\quad by\quad 4\n \n 4\cdot -5=4\cdot \frac { 1 }{ 4 } \cdot 3\cdot r\n \n -20=\frac { 4 }{ 4 } \cdot 3\cdot r\n \n -20=3r\n \n Divide\quad both\quad sides\n by\quad 3\n \n \frac { -20 }{ 3 } =\frac { 3r }{ 3 } \n \n \frac { -20 }{ 3 } =r$

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