All categories

1 year ago

Solve the system of equations. y equals x plus 8 y equals 3 x plus 2

Mathematics

2 answers:

satela [25.4K]1 year ago

4 0

Answer:

(3, 11 )

Step-by-step explanation:

y = x + 8 → (1)

y = 3x + 2 → (2)

substitute y = 3x + 2 into (1)

3x + 2 = x + 8 ( subtract x from both sides )

2x + 2 = 8 ( subtract 2 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (1)

y = 3 + 8 = 11

solution is (3, 11 )

solong [7]1 year ago

3 0

Answer:

The answer is (3,11) or x = 3, y = 11

Step-by-step explanation:

You might be interested in

For the rational expression 2x^2-7x-15/x^2-25, do both of the following,

Mrrafil [7]

Answer:

a. $\frac{2x + 3}{x+5}$

b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)

Step-by-step explanation:

Factor the numerator (Grouping):

$2x^2 - 7x - 15$

Two numbers that multiply to -30 and add to -7 = -3 and 10

$[2x^2 - 10x] + [3x - 15]$

$(2x + 3)(x - 5)$

Factor the denominator (Difference of Two Squares):

$x^2 - 25$ = $(x +5)(x-5)$

Factored Expression:

(x - 5) can be factored out of top and bottom as a hole-

$\frac{(2x + 3)(x - 5)}{(x + 5)(x - 5)} = \frac{2x + 3}{x+5}$

Variable Restrictions:

Denominator ≠ 0

$x + 5 = 0\\x = -5$

Vertical asymptote at x = -5 ⇒ x ≠ -5

3 0

3 years ago

Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid

marishachu [46]

Answer:

$Density = 1.094g/cm^3$

Step-by-step explanation:

Given

$Length = 17.7cm$

$Width = 8.3cm$

$Height = 13.0cm$

$Mass = 2090g$

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

$Volume = Length * Width * Height$

Substitute values for Length, Width and Height

$Volume = 17.7cm * 8.3cm * 13.0cm$

$Volume = 1909.83cm^3$

The density is:

$Density = \frac{Mass}{Volume}$

$Density = \frac{2090g}{1909.83cm^3}$

$Density = 1.094g/cm^3$ <em> --- approximated</em>

5 0

3 years ago

Who do I do this problem

Leviafan [203]

You subtract 16 from each side of the equation.
Then it will say exactly what number 'n' is.
_______________________________________

The equation is n + 16 = 9

On the left side, you subtract 16 from (n + 16) and you have 'n'.

On the right side, you subtract 16 from 9 and you have -7 .

Now the equation says n = -7

3 0

3 years ago

3x - 7y = -40 <br><br> 3x - 2y = -4

eimsori [14]

Answer:

What are you solving for?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the answer to this question

timurjin [86]