Solve the following
system of equations:
5x – 2y = 4
x + 2y = 8

Answers

Answer 1

Answer:

x=2

y=3

Explanation

1. Solve x + 2y = 8 for x:

x + 2y = 8

x+2y + − 2y = 8 + −2y(Add -2y to both sides)

x = −2y + 8

2. Substitute −2y + 8 for "x" in 5x − 2y =4

5x − 2y = 4

5 (−2y + 8) − 2y =4

−12y + 40 = 4 (Simplify both sides of the equation)

−12y + 40 + −40 = 4 + −40(Add -40 to both sides)

−12y = −36 (Divide both sides by -12)

y = 3

3. Substitute 3 for "y" in x= −2y + 8

x = −2y + 8

x = (−2) (3) + 8

x = 2 (Simplify both sides of the equation)

Answer:

x = 2 and y = 3


Related Questions

Graph 3x + 4y < 24
Please I need it now

Answers

type your equation into the desmos app and you can see the answer

Hope it helps :)

↓Graph Provided Below↓

Evaluate x+5 if x=9 please help

Answers

Answer:

14

Step-by-step explanation:

if you plug in 9 for x in the equation x+5, you get 9+5

9+5=14

Answer:

14

Step-by-step explanation:

If it is x+5 and x=9 it is the as

9+5=14

So it would be 14, you just need to plug in the x

Use SUBSTITUTION to solve the system
y=4x
2y-2x=12

Answers

1 Substitute
y
=
2
x

10
y=2x−10 into
y
=
4
x

8
y=4x−8.
2
x

10
=
4
x

8
2x−10=4x−8

2 Solve for
x
x in
2
x

10
=
4
x

8
2x−10=4x−8.
x
=

1
x=−1

3 Substitute
x
=

1
x=−1 into
y
=
2
x

10
y=2x−10.
y
=

12
y=−12

4 Therefore,
x
=

1
y
=

12



x=−1
y=−12

(2, 5) and (-4, 5)
If these points are graphed on a coordinate plane, what is the distance between them, in units?

Answers

Answer:6 units

Step-by-step explanation:

Penny reads 14 pages in 1/3 hour. What is the unit rate for pages per​ hour? For hours per​ page?

Answers

Answer: your

Pages per hour: 42

Hours per page: 1/42 of a hour

Step-by-step explanation:

14 x 3 = 42

1 hour divided by 42 pages = 1/42 of an hour per page

please please please help​

Answers

Answer:

See below.

Step-by-step explanation:

Slope of parallel line is -3/2.

Slope of perpendicular line is 2/3

Answer

see below

step-by-step explanation
slope of parallel lines is -3/2.
Slope of Perpendicular line is 2/3.

Can yall pls help with this

Answers

Answer:

x=7

Step-by-step explanation:

A box in the shape of a cube has a side length of 1 1/2 feet. What is the volume of the box?

Answers

Answer:

Step-by-step explanation:

V cube=s^3, where is the side of the cube

1 1/2ft=3/2 ft

V=(3/2)^3=27/8 ft^3=3 3/8 ft^3

V=3.375 ft^3

Ben made a sundial in his backyard by placing a stick with height 6 in. straight into the ground, and marking the hours in the grass. To test it, he checks the time each day when the sun makes an angle of 30 degrees or 60 degrees with the ground. Select all the possible lengths of the shadow when Ben checks the sundial.

a) 12 in.
b)2 rad 3 in.
c)8 in.
d)6 rad 3 in.
e)2 rad 2 in.

Answers

Answer:

B and D

Step-by-step explanation:

Answer:

The answer is 6√3in and 2√3in. Just finished taking the quiz, hope this gives you some conformation! :)

Skyla wants to buy a massage table to start her spa business. She sees one she wants for $1,200. If she can save $13 a week, how many weeks will it take her to save up for the massage table?​

Answers

Answer:

27 because you have to multipli and then divide

Answer:

about 93 weeks

Step-by-step explanation:

divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks

What is a power function and what restrictions does it have?

Answers

Answer:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

Step-by-step explanation:

-7y-8=6y+18 i need help with this urgent!

Answers

Answer:

Y= -2

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of wc
The length of each side of a square increases by 2.5 inches to
original square was
inches.
Question serial: FIB-3A42-E542-4CD6
P

Answers

Answer:

me dont know solve it your self HAHAHHH loser

Step-by-step explanation:

The graph of 3x − 2y = -1 is shown on the grid.

Answers

Answer:

slope: 3/2, y-intercept: (0,1/2)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Does 2+1= 18? thank youuuu

Answers

Answer:

2 + 1 = 3

Step-by-step explanation:

Dylan went to a banquet at the end of the meal equal amounts of pieces of chocolate blueberry and pecan pie were passed out randomly to the guest what is the probability that dylan will receive the apple pie

Answers

Answer:

1/2

Step-by-step explanation:

help me out? please !

Answers

Answer:

trapezoid

Step-by-step explanation:

The golf club runs a competition.
The total prize money is shared in the ratio 1st prize:2nd prize = 9: 5.
The 1st prize is $500 more than the 2nd prize.
Calculate the total prize money for the competition.

Answers

Answer:

The total prize money for the competition is $1750

Step-by-step explanation:

Let us solve the question

→ The golf club runs a competition

∵ The total prize money is shared in the ratio 1st prize: 2nd prize = 9: 5

∵ The 1st prize is $500 more than the 2nd prize

The difference between the 1st prize and the second prize = $500

→ Find the difference between the terms of the ratio

The difference in the terms of the ratio = 9 - 5 = 4

→ By using the ratio method

→  1st   :   2nd   :   difference

→  9     :   5       :   4

→  x     :   y        :   500

→ By using the cross multiplication

x × 4 = 9 × 500

∴ 4x = 4500

→ Divide both sides by 4 to find x

x = 1125

The 1st prize is $1125

y × 4 = 5 × 500

∴ 4y = 2500

→ Divide both sides by 4

y = 625

The 2nd prize is $625

The total prize = 1st prize + 2nd prize

∴ The total prize = 1125 + 625

∴ The total prize = 1750

The total prize money for the competition is $1750

What is the length of the each side?
please someone help

Answers

Answer:

each side 5

Step-by-step explanation:

with 2 equal internal base angles, we know this is an isosceles triangle

this being isosceles also tells us that the 2 opposite sides are also equal

Therefore: x + 2 = 3x - 4

solving for x

x - 3x = -4 -2

-2x = -6

x = -6 ÷ -2

× = 3

substituting x:

x +2 = 3 + 2 = 5

3x-4 = 9 - 4 = 5

Find the slope of the line passing through points -2, 2 and 2, 0

Answers

Explanation

We can find the slope by using the slope formula. Also know rise over run.

[tex] \large \bold{m = \frac{rise}{run} }[/tex]

[tex]m = \frac{2 - 0}{ - 2 - 2} \\ m = \frac{2}{ - 4} \\ m = - \frac{1}{2} [/tex]

From the slope-intercept y = mx+b.

[tex] \large \bold {m = slope } \\ \large \bold {b = y - intercept }[/tex]

Answer

[tex] \large \boxed { - \frac{1}{2} }[/tex]

Answer:

-1/2

Step-by-step explanation:

Going from (-2, 2) to (2, 0), x (the run) increases by 4 and y (the rise) decreases by 2.  Thus, the slope of this line is m = rise / run = -2/4 = -1/2.

is 2x+12 less than and equal to 14

Answers

Answer:

less than

Step-by-step explanation:

you cant add 2x to 12 because of the x.

Answer:

no, more then i think

Step-by-step explanation:

even we don't know what x is x is coud make the number bigger so 14x is bigger then 14


Landen's front lawn measures 20 feet by 80 feet. He counts to find that there are
120 blades of grass per square inch. How many blades of grass are in the entire
lawn?

Answers

Answer:

[tex]27,648,000[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].

He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.

Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].

Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.

24/80 expressed as percent rounded to the nearest whole number is?

Answers

Answer:

0.3

Step-by-step explanation:

3/10

3x10^-1

24 is 30% of 80, so 30%

Emily and Lars went scuba diving in the ocean together. Emily dove to a depth of -95 feet, while Lars dove
to a depth of -89 feet. Who dove deeper into the ocean?

Answers

Answer:

emily

Step-by-step explanation:

-95 feet is 6 feet deeper than -89 feet

The ratio of chocolate to caramel in the candy jar is 4:1. If there are 15 caramels in the candy
jar, how many chocolates are in the candy jar?

Answers

Answer:

60

Step-by-step explanation:

15 times 4

Answer: There are 60 chocolates in the candy jar

Which could be the degree of the function represented by the graph?
A. 5
B. 1
C. 3
D. 4

Answers

Answer:

C

Step-by-step explanation:

question : fine the location of points a after a translation of 9 units up? Can someone please help me ?

Answers

Answer:

(-1,3)

Step-by-step explanation:

count 9 up

Answer: -1,3 not sure

Step-by-step explanation:

Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points

Answers

Answer:

0+2+-4=-2

Step-by-step explanation:

0+2-4=-2

Step by step explanation :
I believe this is right sorry if i’m wrong

Can any kind soul help me ASAP


The blue is the shaded region​

Answers

Answer:

200π/3 cm^2

Step-by-step explanation:

The answer is explained in the above photo

What's the unit rate for 15 plates in 3 stacks?

A: 3 Plates Per Stack
B: 4 Plates Per Stack
C: 5 Plates Per Stack
D: 6 Plates Per Stack

Answers

Answer:

My pretty sure its 5

(don’t count on it too much, this is my first answer)

Step-by-step explanation:

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