Solve the system by substitution. Show all of your work.
3x – 2y = -2
3x + y = 10

Answers

Answer 1

Answer:

x = 2 ; y= 4

Step-by-step explanation:

3x -2y = -2

y = -3x+10

3x + 6x -20 = -2

9x = 18

x = 2

y = -6 + 10

y = 4

Answer 2

Answer:

x = 2

y = 4

Steps:

given:

3x – 2y = -2

3x + y = 10

2y = 3x+2

y = (3x+2)/2

3x + y = 10

3x + (3x+2)/2 = 10

(6x+3x+2)/2 = 10

(9x + 2)/2 = 10

9x + 2 = 20

9x = 18

x = 2

y = 4


Related Questions

Translate each inequality
"18 less than the quotient of a number and -5 is no less than 31"

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Answer:61

Step-by-step explanation:

Solve 7x − 2(x + 1) = 6x + 14. (5 points)

−12

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−16

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Answer:

C

X=-16

Step-by-step explanation:

what is 184.26 in standard form​

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find the answer here

mathhelp.org

ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically​

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Answer:

there was 12 pencil's in each package because 12 ×4=48 48 -8=40

Find the ending
balance:
$3,000 for 30 years
3.5% annual simple
interest

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rttrtbtrertbr4gbigbnerunburhurh

A parallelogram has vertex at (-5 , -1) (-2, -1), (-3,-4), and (-6,-4). What is the approximate perimeter of the parallelogram round your answer to the nearest hundredth

Answers

Answer:

12.4 units

Step-by-step explanation:

We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance

= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)

For side A

(-5 , -1) (-2, -1)

= √(-2 -(-5))² + (-1 - (-1))²

= √(-2 + 5)² + (-1 + 1)²

= √3² + 0

= √9

= 3 units

For side B

(-2, -1), (-3,-4)

= √(-3 -(-2))² + (-4 -(-1))²

= √(-3 + 2)²+ (-4 + 1)²

= √-1² + -3²

= √1 + 9

= √10 units

= 3.1622776602 units

Approximately = 3.2 units

For side C

(-3,-4), (-6,-4).

= √(-6 -(-3))² + (-4 - (-4))²

= √(-6 + 3)² + (-4 + 4)²

= √-3² + 0²

= √9

= 3 units

For side D

(-5 , -1), (-6,-4)

= √(-6 - (-5))² + (-4 - (-1))²

= √(-6 + 5)² + (-4 + 1)²

= √-1² + -3²

= √1 + 9

= √10 units

= 3.1622776602 units

Approximately = 3.2 units

From the above calculation , we can see that,

side A = side C

side B = side D

The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)

= 2(3 + 3.2) units

= 2(6.2) units

= 12.4 units

What is the positive solution to this equation?
4x2 + 12 x= 135

Answers

The answer is 2.25.

In a geometric sequence, the ratio between consecutive terms is?

Answers

In a geometric sequence, the ratio between consecutive terms is always the same.

if there 3 cats and 3 dogs how mush would be together

Answers

Answer:

6

Step-by-step explanation:

3+3 = 6

Answer:

There is 1 cat for each dog so the ratio would be 1:1 together.

Step-by-step explanation:

This means there are twice as many cats as dogs, or half as ... The ratio of 6:3 reduces to the ratio of 1:1

Please answer ill give brainliest
Vertex C and vertex D are plotted on the graph. Plot vertexes A and B to form a rectangle with an area of 36 square units. Plot vertex E at (2, 4). Source StylesFormat

Answers

( - 4, 4) ; ( -4 , -2 ); ( 2 , - 2) would be the answer:)

PLEASE HELP ME ILL MAKE BRAINLIEST!!!!!
I need the correct answer

Answers

Answer:

56.7

Step-by-step explanation:

Hello There!

Trigonometric Ratios

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length and the hypotenuse

so the trigonometric ratio we need to use is sin

knowing that sin = opposite side divided by hypotenuse we create an equation

[tex]sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659[/tex]

our final step is to round to the nearest tenth of a degree

so we can conclude that the measure of angle A is 56.7

note: arcsin = inverse of sin

Answer:

56.7

Step-by-step explanation:

so opposite the angle we are working out is "o"And the longest side is the hypotunese but just remember it as "h"a is the remaining side but does not have a value and is blank therefore we need to worry about this sideWe have "o" and "h" which is the formula triangle with sin o/sin*hBut as we are working out the angle(sin)  we change the formula so it is sin=0/hsin=51/61sin=0.8then you click the shift or 2nd function button on your calculator and the sin button and this is your answer 56.7so the angle is 56.7

Log 8 1/32 is equaled to

Answers

Answer:

I think the answer wold be -5/3 or -1.666666667 .

The value of the given expression is,

[tex]log_8 \frac{1}{32}[/tex] = -3/5

The given logarithmic expression is,

[tex]log_8 \frac{1}{32}[/tex]

Since we know that,

The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to expressing enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.

We can write the given expression as,

[tex]log_8 \frac{1}{32}[/tex] =   [tex]log_8 32^{-1[/tex]

          = - [tex]log_8 32[/tex]                  [ [tex]log_a b^x = x log_a b[/tex]]

          = - [tex]log_{2^3} 2^5[/tex]

          =  - [tex]\frac{3}{5} log_{2} 2[/tex]                 [ [tex]log_{a^y} b^x = \frac{x}{y} log_a b[/tex]]

          = -3/5                       [  [tex]log_{a} a = 1[/tex]]

Hence,

[tex]log_8 \frac{1}{32}[/tex] = -3/5

To learn more about exponent visit:

https://brainly.com/question/31242910

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Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two vertices of the garden at points (Negative 1, 2) and (Negative 1, Negative 2).

Answers

Answer:

The other two vertices are (4 , -2) and (4 , 2)

Answer:

The answer is (B)

Step-by-step explanation:

Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two vertices of the garden at points (Negative 1, 2) and (Negative 1, Negative 2).

On a coordinate plane, points (negative 1, 2) and (negative 1, negative 2) are plotted.

At which points should Max have the other two vertices in order to make the area of his garden 20 square feet?

(2, Negative 2) and (2, 2)

✅(4, Negative 2) and (4, 2)

(3, Negative 2) and (3, 2)

(5, Negative 2) and (5, 2)

Point T bisects UV. Find UV if UT = 2 inches

Answers

4 inches. Bisect means the halfway point.

3/4+(1/3divided by 1/6)-(-1/2)=
HURRY pls i need a answer ASAP

Answers

Answer:

Step-by-step explanation:

Answer:

3.25

Step-by-step explanation:

Which graph represents the linear function y=1/5x-2​

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Answer: The second one

Step-by-step explanation: Y-int is -2 and the slope is 1/5 so we know its going up but very slowly

What is z4 + z4 + z4 + z4?

Answers

Answer:

4z

Step-by-step explanation:

PLS I NEED HELP WITH THIS!!!!

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Answer:

Step-by-step explanation:

The volume of a cylinder is

[tex]V=h\pi r^2\\ \\ h=8,\ r=4\\ \\ V=8\pi (4^2)\\ \\ V=8(16)\pi \\ \\ V=128\pi \units^3[/tex]

HELPP PLEASEEE


John's toy car is built on a scale of one
inch represents 12 inches on the actual
car. If john's toy car is 5 inches long,
how long is the actual car?

Answers

12/1 = x/5

1 • x = 12 • 5
x = 60

John’s car is 60 inches long.

5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12

Answers

Answer:

10c + 12

Step-by-step explanation:

I believe that is the answer please let me know if I am wrong

Find the perimeter of this semi-circle with diameter 62cm.
Give your answer as an expression in terms of Pi

Please include the formula

Answers

Step-by-step explanation:

hope it helps

have a great day!!

9. Given that P = (-1,16) and Q = (1, 9), find the component form and
magnitude of vector QP (Q is initial and Pis terminating). *

Answers

To find the component form, u only need to know how to substitute figures for letters. What do I mean by this?

If initial side is (x1,y1)
Then x1 = -1, and y 1 = 16
If the terminal side is x2, y2
Then x2 =1 and y2 =9

This component from p is x2-x1 y2-y1
In this case <[1-(-1)], (9-16)
Which give us
2,-7

If p = x ,y using Pythagorean’s theorem
2(2) + (-7)(7)
4+49
53
Square root of 53 is
7.28010988928
7.3

hello ! does anyone know how I could get x and y from this equation :


3x +4y > 2

any help would be appreciated ! :)

Answers

Step-by-step explanation:

x,y£R

x and y are element of real numbers

any number you set for x you get which is strictly greater than 2

PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!

Answers

Step-by-step explanation:

The height of the swipe card is given by :

[tex]h(t)=-3t^2+15t+18[/tex] .....(1)

We need to find the maximum height of the swipe card and the time to reach the maximum height.

For maximum height, put dh/dt = 0

So,

[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]

It will take 1.67 seconds to reach the maximum height.

Now, put t = 1.67 s in equation (1).

[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.

please help as soon as possible and please don’t take advantage of the points


a:1 hour
b:1.5 hours
c:2 hours
d: 3.5 hours
e:5.5 hours

Answers

Answer:

2 hours

Step-by-step explanation:

Solve the system by substitution.
y = 7x – 20
y = 2x

Answers

Answer:

x=4 y=8

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

What is the measure of E in degrees?

Answers

Answer:

c

Step-by-step explanation:

E=10×10+25

but solve it to make sure

the answer is 130° a p e x

Natalia is making a model of a statue using a scale in which 7 centimeter equals 4 feet. If the model is 3.5 centimeters wide, what is the actual width of the statue, in feet? Your answer can be exact or rounded to two decimal places,​

Answers

Answer:

2 ft

Step-by-step explanation:

[tex] \dfrac{7}{4} = \dfrac{3.5}{x} [/tex]

[tex] 7x = 4 \times 3.5 [/tex]

[tex] x = 2 [/tex]

Answer: 2 ft

finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number​

Answers

Answer:

this is your answer look it once

5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.

Answers

Answer:

a or c Im not sure

Step-by-step explanation:

I think b though

The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given,

Loren is running at speed of 10 feet per second.

Speed = distance covered/time taken

10 = distance covered/time taken

In line B, the ratio of distance covered/time taken is 10.

Thus, line B will be correct.

Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".

To learn more about graphs,

brainly.com/question/16608196

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