All categories

3 years ago

Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations

Mathematics

1 answer:

TiliK225 [7]3 years ago

8 0

Answer:

x = - 4 y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8 Subtract y from both sides

x + y - y = -8 - y y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

- 9x - 6y = 60

-9(- 8 - y) - 6y = 60 Multiply out

72 + 9y - 6y = 60

72 + 3y = 60 Subtract 72 from both sides

72 - 72 + 3y = 60 - 72 72 cancels on the left

3y = - 12 Divie both sides by 3

3y/3 = -12/3 3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8 Add 4 to each side

x - 4 + 4 = - 8 + 4 4 cancels on the left

x = -4

x = - 4 and y = - 4

You might be interested in

What addition doubles fact can help you find 4+ 3? Explain how you know

astraxan [27]

7 because if u add 4 and 3 that's what u end up with

5 0

3 years ago

pllllllls I need help right triangle and trigonometry special right triangles find the value of each variable

yanalaym [24]

$\huge {\mathfrak{Answer : }}$

we know,

$\boxed{\cos( \theta) = \dfrac{base}{hypotenuse}}$

so,

$\cos(30) = \dfrac{24}{x}$

$\dfrac{ \sqrt{3} }{2} = \dfrac{24}{x}$

$x = \dfrac{24 \times 2}{ \sqrt{3} }$

$x = 8 \sqrt{3} \times 2$

$x = 16 \sqrt{3}$

now,

$\boxed{ \tan( \theta) = \frac{perpendcular}{base} }$

$\tan(30) = \dfrac{y}{24}$

$\dfrac{1}{ \sqrt{3} } = \dfrac{y}{24}$

$y = \dfrac{24}{ \sqrt{3} }$

$y = 8 \sqrt{3}$

6 0

2 years ago

Two consecutive positive integers have a product of 6 what are the integers

umka21 [38]

Answer:

2,3

Step-by-step explanation:

2 and 3 are consecutive numbers, and when you multiply them, you get 6.

Hope this helps.

Have a nice day.

8 0

2 years ago

3x-5<13 or -2x+4<img src="https://tex.z-dn.net/?f=%5Cleq" id="TexFormula1" title="\leq" alt="\leq" align="absmiddle" class="l

Anton [14]

Answer:

I would go with the second one.

Step-by-step explanation:

3 0

3 years ago

Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy. A carton o

Lemur [1.5K]

Given :

A carton of 12 eggs or a carton of 18 eggs was the better buy. A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy.

To Find :

What was her first error.

Solution :

Her first error is to find Unit price of egg in each carton.

To find, unit price we should divide total amount by number of units :

Unit price for carton of 12 eggs, $ (2.39)/12 = $0.199 .

Hence, this is the required solution.

4 0

3 years ago