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3 years ago

2x + 4y = 222x - 2y = -8

Mathematics

2 answers:

NISA [10]3 years ago

6 0

Answer:

2x+4y=22

-2x+2y=+8

6y=30

y=5

now

replace the value of y in equ i

2x +4y =22

2x+20=22

x=1

timama [110]3 years ago

5 0

Answer: x = 1 y= 5

Step-by-step explanation:

2x + 4y = 22 -

2x - 2y = -8

--------------------

0+6y = 30

Y= 30/6= 5

Substituting,

2x+ 4*5= 22

2x+ 20 = 22

2x= 22-20 = 2

X=2/2=1

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Write the following equation in the general form

shtirl [24]

<h2>Explanation:</h2>

As I understand, the given equation is:

$5 y = x-1$

So we need to write this into general form. The general form of the equation of a line is given by:

$Ax + By + C = 0$

Where A and B can't be zero at the same time. So subtracting 5y from both sides:

$5y-5y = x-1-5y \\ \\ 0=x-1-5y \\ \\ \\ Arranging: \\ \\ \boxed{x-5y-1=0} \\ \\ \\ So: \\ \\ A=1 \\ \\ B=-5 \\ \\ C=-1$

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3 years ago

A plant grew 3 1/4 inches over a 6 1/2 month period.what was the average monthly growth rate for the plant

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Answer:

0.5 inches per a month

Step-by-step explanation:

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3 years ago

34 divided 5323 in simple form

joja [24]

The value when 34 is divided by 5323 is 0.00639.

<h3>What is division?</h3>

It should be noted that division simply means the opposite of multiplication. It represents the way numbers are combined in order to make new numbers.

The steps include:

1: Take the dividend's first digit starting from the left in step one. Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

4: Decrease the dividend's subsequent digit (if present).

5: Carry out Step 4 again.

In this case, 34 divided 5323 will be 0.00639. It should be noted that this illustrates a decimal.

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7 0

1 year ago

During a football game a concession stand sold a family three hamburgers and two hotdogs for a total of $13 it's sold another fa

guajiro [1.7K]

Answer:

The price of each hamburger is $3

The price of each hot dogs is $2 .

Step-by-step explanation:

Given as :

The total price of 3 hamburger and 2 hot dogs = $13

The total price of 2 hamburger and 5 hot dogs = $16

Let The price of each hamburger = $x

Let The price of each hot dogs = $y

<u>Now, According to question</u>

3 x + 2 y = 13 .........A

2 x + 5 y = 16 .......B

Now, Solving to eq A and B

3 × (2 x + 5 y ) - 2 × (3 x + 2 y ) = 3 × 16 - 2 × 13

Or, (6 x + 15 y) - (6 x + 4 y) = 48 - 26

Or, (6 x - 6 x) + (15 y - 4 y) = 22

Or, 0 + 11 y = 22

∴ y = $\dfrac{22}{11}$

i.e y = $2

so, The price of each hot dogs = y = $2

<u>Now, Put the value of y into eq B</u>

i.e 2 x + 5 y = 16

or, 2 x + 5 × 2 = 16

or, 2 x = 16 - 10

or, 2 x = 6

∴ x = $\dfrac{6}{2}$

i.e x = $3

So, The price of each hamburger = x = $3

Hence, The price of each hamburger is $3 and The price of each hot dogs is $2 . Answer

3 0

3 years ago

A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the

Amanda [17]

Answer:

The measure of the third arc is $150\°$

Step-by-step explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

$42\°=\frac{1}{2}(x-y)$

$84\°=(x-y)$ ----> equation A

$\frac{x}{y}=\frac{7}{3}$

$x=\frac{7}{3}y$ -----> equation B

Substitute equation B in equation A and solve for y

$84\°=(\frac{7}{3}y-y)$

$84\°=(\frac{4}{3}y)$

$y=3*84\°/4=63\°$

Find the value of x

$x=\frac{7}{3}(63\°)=147\°$

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

$x+y+z=360\°$ -----> complete circle

substitute the values and solve for z

$147\°+63\°+z=360\°$

$z=360\°-(147\°+63\°)=150\°$

3 0

3 years ago

2x + 4y = 222x - 2y = -8​

2x + 4y = 222x - 2y = -8