Solve the linear systems using addition or subtraction 7x + 2y = 8;-5x - 2 =-12​

Answers

Answer 1

Answer:

(2 , -3)

Step-by-step explanation:

7x +2y = 8

-5x - 2  = -12

The only method that uses addition/subtraction is elimination

5(7x + 2y = 8)

7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)

(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*

35x + 10y = 40

-35x = 70

10y = -30

y = -3

substitute y into original equation

7x + 2 (-3) = 8

7x - 6 = 8

7x = 14

x = 2

(2 , -3 )

Answer 2

Answer:

Step-by-step explanation:

Add 5x to both sides to isolate -2:

-5x + 5x - 2 = -12 + 5x

-2 = -12 + 5x

Add 12 to both sides to isolate the 5x:

-2 + 12 = -12 + 12 + 5x

10 = 5x

Divide both sides by 5:

[tex]\frac{5x}{5} = 10 \div 5\\[/tex]

x = 2

Substitute this value into the first equation:

7x + 2y = 8

7(2) + 2y = 8

14 + 2y = 8

Subtract 14 from both sides:

14 - 14 + 2y = 8 - 14

2y = -6

Divide both sides by 2:

2y ÷ 2 = -6 ÷ 2

y = -3

So the coordinate set is:

(2, -3)

Hope this helps!


Related Questions

pls help me with this

Answers

Answer:

6mm

Step-by-step explanation:

Tell 3 numbers that are less than 2 and greater than −1.

Answers

Answer:

0 and 1 and -2 and -3

Step-by-step explanation:

Do they have to be whole numbers?
If not, then 0, 1, and 1.75.

I am really lost in this statistics problem and I would truly appreciate it if someone can help me with it

Answers

Answer:

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Any measurement or data collection effort is subject to a number of sources of variation.

Step-by-step explanation:

soo yeah

What is the inequality shown?

Answers

I hope this helps! The answer is : -2≤ h<8

00
A student ran a distance of 33 miles each day for 5 days. Then the student ran a distance of 4 miles each day
for the next 5 days.
What was the total distance in miles the student ran during these 10 days?

Answers

☆Answer : 33miles = 5days 4miles = 1days

10days = ... miles

= 5days × 2

= 33 × 2

= 66miles

What is r(-4)=(-4+1)(-4-3)? It’s apart of evaluating functions.

Answers

Answer:

21

Step-by-step explanation:

r=-5.25 btw

PLEASE HELP GEOMETRY IS SO HARD PLEASE


tell me if i need to add or delete an answer

Answers

Answer:

where is questions asking

Find the equation of the linear function represented by the table below in slope-intercept form.
x 0 1 2 3 4
y -8 0 8 16 24

Answers

Answer:

y = 8x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (2, 8) ← 2 ordered pairs from the table

m = [tex]\frac{8-(-8)}{2-0}[/tex] = [tex]\frac{8+8}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8

The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = 8x - 8

he saves £85 each month for the trip.
he will save for 4 month s.
how much will he save in total?
show your working?

Answers

85x4=340
(5x4=20)+(80x4=320)
85 every month
4 months that he will be saving up for.
So that will be four 85’s

85 + 85 + 85 + 85 (85*4)

= 340

He will save £340 in total.

please help me woth this

Answers

What you would want to do is first graph the points it lists to you which are -6,6 and 1,6, remember the first number of the coordinate is X and the second number is Y. The X is on the horizontal line while the Y is vertical. Once you find the general place where the rectangle would go you would have to find the perimeter which is 30. The total perimeter can be found by using the equation P = 2L + 2W which just means the length of a side multiplied by 2 plus the width of a side multiplied by 2 equals the perimeter. I don’t have enough time to answer it fully but you would need to plot the coordinates, then find a place where the rectangle would have a perimeter equal to 30. Good luck on your question.

Find the slope of the line passing through the points (5,9) and (5, - 7)​

Answers

Answer:

9/11

Step-by-step explanation:

What is an equation of the line that passes through the point (-7, -6) and is
parallel to the line 2 - y = 7?

Answers

Answer:

[tex]y = -6[/tex]

Step-by-step explanation:

Because is a line is of the form

[tex]y = mx + b[/tex]

and its parallel to the line

[tex]2 - y &= 7\\- y &= 5\\y = -5[/tex]

So that's meaning that the slope [tex]m[/tex] is equal to 0 then the equation now is of the form

[tex]y = b[/tex]

Then if pass for the point -6 and [tex]b[/tex] is the point of cut with the [tex]y[/tex] axis then our equation of the line is equal to

[tex]y = -6[/tex]

What is the slope of the line that passes through the points (3, 7), (9, 19) and (5, 11)?

Answers

Answer:

the slope is 2

Step-by-step explanation:

use the slope formula which is y2-y1/x2-x1

1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.

Answers

Step-by-step explanation:

perimeter=2(l+b)

check the picture for more clarification

 WILLL GIVE 100 points
Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at (0, 0) .

The points of the polygon =(3,3) (0,3) (6,-6) (9,6)

Image attached of the polygon

Answers

Answer:

The image of the dilated polygon is attached below

Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Dilation is the increase or reduce in size of a figure by a factor k. If a point A(x, y) is dilated by a factor k about the origin, the new point is A'(kx, ky).

Let us assume that the polygon has vertices at A(0,0), B(3, 3) and C(-3, 3). If the polygon is dilated by a scale factor of 1/3 and center of dilation at ​(0, 0)​, the new vertices is at:

A'(0,0), B'(1, 1) and C'(-1, 1)

The graph of the polygon is attached.

are c and d the correct answer for this question?

Answers

Answer:

A E

Step-by-step explanation:

A => 10/4 = 5/2

B => 4/2 = 2

C => 2/5

D => here y is less than x

E => 10/4 = 5/2

5 = 5+r-2r
what's the answer to this equation

Answers

Hi there!

5=5+r-2r

Combine like terms:

5=5-r

Move all the variables to the left, using the opposite operation:

r+5=5

r=5-5

r=0

r=0 is the answer

Hope it helps

~Just a gloomy gal

#CarryOnLearning

[tex]SilentNature :)[/tex]

Answer:

r = 0

Step-by-step explanation:

5 = 5 +r - 2r

5 = 5 -r

c.l.t   r = 5 - 5

r = 0

LOL ITS ME AGAIN STOP SCROLLING N HELP MEEE PLS. ALSO DONT MIND DIRTY SCREEN

Answers

Answer:

12/16 9/12

3/4

Step-by-step explanation:

12/16 = 15/20 = 9/12

scale factor = 3/4

Answer:

The other fractions are [tex]\frac{9}{12}[/tex] and [tex]\frac{15}{20}[/tex].

the scale factor is [tex]\frac{3}{4}[/tex].

Each of the sides on XYZ are 3/4 of the corresponding sides on ABC.

1. Describe the three-dimensional shape that is generated by
rotating the two-dimensional shape around the axis shown.
A rectangular prism
C cylinder
B cube
D triangular prism

Answers

Answer:

Cylinder and cube are three dimensional shape

Answer:

triangular prism

rectangular prism

Step-by-step explanation:

List numbers that are between -21 and -12

Answers

Answer:

-13 -14 -15 -16 -17 -18 -19 -20

Answer:

-20, -19, -18, -17, -16, -15, -14, -13,

Step-by-step explanation:

8 I am 8 yeard old, my father is24 years older than iam ,how old was my father 5 years ago?​

Answers

Step-by-step explanation:

He was 19 years old when you were 5

8 + 24 = 32

32 - 5 = 27

Solve the following system of equations graphically on the set of axes below.
y=−x−8

3x−2y=6

Answers

Answer:

b

Step-by-step explanation:

b took the test np

Pleaaas help meeeee pleasssss

Answers

Answer:

For the first row, it's 6, 12, 18, 24, 30

Second row: 4, 8, 12, 16, 20

Step-by-step explanation:

You're just counting by multiples of 6 for the first row and 4 for the second row. Denominator means the number underneath the fraction line

Graph the equation 3x-5y=15

Answers

Answer:

sorry don't know but thanks for the coins bro

Step-by-step explanation:

because im broke and need answers to man i going to use the coin for good thanks again find somebody else

Answer:

5y= 3x-15

This is the equation of the graph in slope intercept form: y=3/5x-3

Here is the graph for it:

11. Consumer Math A store has apples on sale at $3.00 for 2 pounds.
a. How many pounds of apples can you buy for $9. Explain your answer

Answers

Answer:

6 pounds

Step-by-step explanation:

3$ for 2 pounds

9$ has three 3$

9 ÷ 3 = 3

Then multiply it to 2 pounds.

3 x 2 = 6

That's how we get the 6 pounds.

whats 5 x 2x x 2y?? im doing hw and im confused

Answers

5 x 2x x 2y = 20xy
Because
5 x 2x = 10x
10x x 2y = 20xy

80 percent = 8,000
what is the answer

Answers

Answer:

10,000

Step-by-step explanation:

simple math in my opinion

I need help. I'm suppose to find the angle of "o"​

Answers

Answer: 66



Hope this helps, if you need an explanation just ask

Write the equation of the line from the graph.​

Answers

Answer: y = 4x + 2

Step-by-step explanation:

A linear equation is usually in y= mx + b form, where m is the slope and b is the y-intercept.

In order to calculate the slope, we choose two-point from the graph. (-1 ,-2) and (0, 2).

slope = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

        = (2 - (-2)) / (0 - (-1))

        = (2 + 2) / (0 + 1)

        = 4 / 1

        = 4

y-intercept means the y value when x is 0, according to the graph, the y value when x at 0 was 2. So the y-intercept is 2.

Plug both slope and y-intercept in, we get the equation:

            y = 4x + 2

Answer: y = 4x + 2

Step-by-step explanation:

2x-y=5
2x-5y=-31
elimation method

Answers

Answer:

y=9, x=7

Step-by-step explanation:

2x-y=5 --> equation 1

2x-5y=-31 --> equation 2

change signs of equation 1

-2x+y=-5

solving method

-2x+y=-5                   (cut -2x and 2x because -2x+2x =0)

2x-5y=-31                       (likewise +y-5y and -5-31)

-4y= -36            (since -4 is multiplying on right side it will divide)

y= -36/-4             (cut negative with negative and simplify equation)

y= 9                  

put value of y in equation 1

2x-y=5

2x-9=5

2x= 14

x=14/2

x=7

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