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AnnZ [28]
3 years ago
9

How am I supposed to solve this? I know how to do the equations but I don't know why there are only 2 places to put an answer fo

r X and Y when there are 2 equations. Both equations have an X and a Y so that means there are 4 X and Y answers.

Mathematics
1 answer:
AveGali [126]3 years ago
6 0

Answer:

x = 1

y = -4

Step-by-step explanation:

We will multiply the 2nd equation by 4 first:

4 * [-x + y = -5]

-4x + 4y = -20

Now we will add this equation with 1st equation given. Shown below:

4x + 3y = -8

-4x + 4y = -20

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

7y = -28

Now, we can solve for y easily:

7y = -28

y = -28/7

y = -4

Now, we take this value of y and put it in 1st original equation and solve for x:

4x + 3y = -8

4x + 3(-4) = -8

4x - 12 = -8

4x = -8 + 12

4x = 4

x = 4/4

x = 1

So, this is the only solution to this problem ( 1 intersection point at x = 1 and y = -4)

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a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l
GrogVix [38]

Answer:

\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}

Step-by-step explanation:

The equation of a line:

y=mx+b

We have

m=\dfrac{2}{3}

substitute:

y=\dfrac{2}{3}x+b

The formula of a distance between a point and a line:

General form of a line:

Ax+By+C=0

Point:

(x_0,\ y_0)

Distance:

d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}

Convert the equation:

y=\dfrac{2}{3}x+b     |<em>subtract y from both sides</em>

\dfrac{2}{3}x-y+b=0    |<em>multiply both sides by 3</em>

2x-3y+3b=0\to A=2,\ B=-3,\ C=3b

Coordinates of the point:

(0,\ 0)\to x_0=0,\ y_0=0

substitute:

d=4

4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}

4=\dfrac{|3b|}{\sqrt{13}}\qquad|    |<em>multiply both sides by \sqrt{13}</em>

4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}   |<em>divide both  sides by 3</em>

b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}

Finally:

y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}

4 0
2 years ago
Maria invests $6,154 in a savings
Anna [14]

Answer:

$13286.02

Step-by-step explanation:

100 + 8 = 108

108 / 100 = 1.08

6154 x 1.08^{10} = $13286.02

4 0
2 years ago
Read 2 more answers
Plz help me well mark brainliest if correct!....
LUCKY_DIMON [66]

Answer:

C

Step-by-step explanation:

B can immediately be eliminated because it has an area of 14.

A and C have an area of 10.

So add the sides.

C:

4 + 4 + 1 + 1 + 2 + 2 + 1 + 3

= 18

A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =

10 + 4 =

14

7 0
2 years ago
Which equation represents a proportional relationship between the x and y values? A) y + 4 = 3x B) y − 3x = 0 C) y + 5x = 6 D) y
Romashka [77]

Option is B) y-3x=0  represents a proportional relationship between the x and y values

Explanation:

Case 1 = y+4=3x

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 4 .

Case 2: y-3x=0

From the above equation we can see that if we change the value of x, the value of y changes by proportionality.

Hence the correct option is B.

Case 3 = y+5x=6

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 6.

Case 4 = y+1/4×x=2

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 2.

5 0
3 years ago
A gymnastics school offered a special for enrollment where a new student could enroll for half the price after paying a $17.50 a
nata0808 [166]

Answer:

12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.

Step-by-step explanation:

So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2

where p = regular price of enrollment

So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.

So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)

The amount they all paid is $750.

To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750

8 0
3 years ago
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