How many solutions does the following. system of equations have? 6x-3y= -9 y=2x+3. one solution, infinitely many solutions or no solution?​

[tex] \begin{cases} x - y = - 2 \\ 4x - y = 4 \end{cases}[/tex]

Simply multiply the negative one in one of the equations.

[tex] \begin{cases} - x + y = 2 \\ 4x - y = 4 \end{cases}[/tex]

We can finally eliminate the y-term by adding both equations.

[tex]( - x + 4x) + (y - y) = 2 + 4 \\ 3x + 0 = 6 \\ 3x = 6 \\ x = \frac{ 6 }{3} \longrightarrow \frac{ \cancel{6}}{ \cancel{3}} = 2 \\ x = 2[/tex]

[tex]x - y = - 2 \\ 2 - y = - 2 \\ 2 + 2 = y \\ 4 = y[/tex]

First Equation

[tex]x - y = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]

Second Equation

[tex]4x - y = 4 \\ 4(2) - 4 = 4 \\ 8 - 4 = 4 \\ 4 = 4 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]

Hence, the solution is (2,4).

[tex] \begin{cases} x = 2 \\ y = 4 \end{cases}[/tex]

Coordinate Form

[tex](2,4)[/tex]

14.8 square feet is the area of the given parallelogram.

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

The area of a parallelogram is given by the formula:

Area = base x height

where the base is the distance between two parallel sides of the parallelogram.

In this case, the height is given as 2 feet, but we need to find the base.

Since the parallelogram has two pairs of parallel sides, we can use the width of 7.4 feet as the base.

Therefore, the area of the parallelogram can be calculated as:

Area = base x height = 7.4 ft x 2 ft = 14.8 square feet

So, the area of the parallelogram is 14.8 square feet.

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ2

Complete question:

Answer:

£720

Step-by-step explanation:

100+5 = 105

105% = 756

divide both sides by 105 to find 1%

1% = 7.2

multiply both sides by 100 to find 100%

100% = 720

756/105 X 100 = 720

Answer:

No

Step-by-step explanation:

I think you meant to put 5/12 ad 9/16 but in any case, even if it were 51/2 and 91/6 or anything else, the answer would be no

Answer:

6 months

Step-by-step explanation:

12x = 87

12x ÷ 12 = x

87 - 15 = 72

72 ÷ 12 = 6

x = 6 months

CHECK:

12 x 6 = 72 + 15 = 87

87 = 87

Answer:

6 months

Step-by-step explanation:

The equation would be: 15 + 12m = 87

Answer:

y=72

Step-by-step explanation:

the step by step is in the attachment above

Answer:

[tex]x < - 21[/tex]

Step-by-step explanation:

1. Multiply both sides by 3.

[tex]x < - 7 \times 3[/tex]

2. Simplify 3 × 7 to 21.

[tex]x < - 21[/tex]

therefor, the answer is x < -21

Answer:

153

Step-by-step explanation:

Calculate the area of each side first, then add it all up

Width x height = area of square/rectangle

1/2 x width x height = area of a traingle

Answer:

Step-by-step explanation:

f(3)=3^2-3/2=3*3-3/2=9-3/2=18/2-3/2=15/2

Answer:

-2x, (x+6), and (x-2)

I got this right on edmentum.

Step-by-step explanation:

Answer:

1. slope m = 1; y-intercept b = 3

2. slope m = ; y-intercept b = 4

3. slope m = 3; y-intercept b = 1

4. slope m = [tex]\frac{1}{2}[/tex]; y-intercept b = 1

5. the slope demonstrates the cost of toppings PER topping and how the price increases per topping. the y-intercept is the starting cost WITHOUT toppings (when toppings = 0) and the slope increases the price starting with the y-intercept because it is the initial cost. the graph is attached

Step-by-step explanation:

1maybe you neeeda put it in calculator cause the problem easy just got to try

Answer:

it would be B

Step-by-step explanation:

d=(0-(-5)^2+(-2-(-3)^2

d=(5)^2+(1)^2

d=25+1

d=26

Answer:

− 108 x 5 y 7

Step-by-step explanation:

My computer wont allow it but the 5 and the 7 are exponents

Answer:

[tex]-108x^{5}y^{7}[/tex]

Step-by-step explanation:

Simplify using the laws of exponents (there are more rules than listed, these given rules are just the ones that come into play here);

- when there is a term in parenthesis with an exponent outside, the term's exponent gets multiplied by the exponent outside

- when multiplying two exponents, one can only combine terms with the same base, and one must add the exponents

[tex](3xy^{2})^{3}*(-4x^{3}y)\\\\=(3^{3}*x^{3}*y^{2{^{3}}}) *(-4x^{2}y)\\\\=(27x^{3}y^{6})(-4x^{2}y)\\\\=-108x^{5}y^{7}[/tex]

Answer:

2n + 519

Step-by-step explanation:

Hope this helps! :)

Good luck♥

Answer:

x = -11

m<B = -43

m<C = -22

Step-by-step explanation:

To solve for x, solve (3x-10) + (2x) + 65 to get 5x+55. Simplify to 5x = -55. This can simplify further to x = -11. Insert -11 as x into the angles.

I hope this is correct and helps!

Answer:

Finding the volume of these composite figures involves finding the volume of each shape, calculate the volume of each shape,

Step-by-step explanation:

then adding the volume of these different shapes together.  the volume of two different figures is calculated with step by step directions.

Answer:

n = 1

Step-by-step explanation:

So the first step is to simplify the top equation:

(3v + 7) - (8v + 6)

distribute the negative sign to get rid of the second parentheses:

3v + 7 - 8v - 6

now, combine like terms

-5v + 1

Since it says it needs to be equivalent to (-5v + n), n is 1

Answer:

The two angles are 10 degrees and 170 degrees.

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

Let the angle be called "x", and the supplementary angle be called "180-x"

Converting words to math: x-160=180-x

Add x to both sides: 2x-160=180

Simplify: 2x=20

Divide by 2: x=10

Let me know if this helps!

Step-by-step explanation:

1 is a right triangle I know this because a right triangle is a triangle which one of the angles is a 90 degree angle

Answer:

Triangles 1,2,3, and 4 are all right triangles

Answer:55

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

Explicit formula of an arithmetic sequence is always in the linear form.

A(n) = a + (n - 1)d

Here A(n) = nth term of the sequence

a = first term

n = number of term

d = common difference

Formula doesn't have the terms with the exponent.

Therefore, from the given options, expression that represents an arithmetic sequence will be,

f(n) = 3n - 4

Option (2) will be the correct option.

Answer:

9

Step-by-step explanation:

49.99 + 9.75x = 137.74

solve for x.

x = 9

Answer:

898/8×41=4602.5

Step-by-step explanation:

I HOPE THIS WILL HELP YOU KEEP WORK HARD FOR STUDIES