A system of equations has infinitely many solutions. If zy - 4x = 6 is one of the equations, which could be the other equation?

Solve the system of equations.

Ksenya-84 [330]

Answer:

1) {y,x}={-3,-23}

2) {x,y}={7,-9/2}

Step-by-step explanation:

Required:

Solve systems of equations

1) y - x = 20, 2x - 15y = -1

Equations Simplified or Rearranged :

[1] y - x = 20

[2] -15y + 2x = -1

Graphic Representation of the Equations :

x + y = 20 2x - 15y = -1

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = x + 20

// Plug this in for variable y in equation [2]

[2] -15•(x +20) + 2x = -1

[2] - 13x = 299

// Solve equation [2] for the variable x

[2] 13x = - 299

[2] x = - 23

// By now we know this much :

y = x+20

x = -23

// Use the x value to solve for y

y = (-23)+20 = -3

Solution :

{y,x} = {-3,-23}

2) 25-x=-4y,3x-2y=30

Equations Simplified or Rearranged :

[1] -x + 4y = -25

[2] 3x - 2y = 30

Graphic Representation of the Equations :

4y - x = -25 -2y + 3x = 30

Solve by Substitution :

// Solve equation [1] for the variable x

[1] x = 4y + 25

// Plug this in for variable x in equation [2]

[2] 3•(4y+25) - 2y = 30

[2] 10y = -45

// Solve equation [2] for the variable y

[2] 10y = - 45

[2] y = - 9/2

// By now we know this much :

x = 4y+25

y = -9/2

// Use the y value to solve for x

x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

3 0

2 years ago

A) 3y = 43 + x b) 8y + 5x = 61

3241004551 [841]

Answer:

huh

Step-by-step explanation:

7 0

2 years ago

A chemist is using 342 milliliters of a solution of acid and water. If 14.4% of the solution is acid, how many milliliters of ac

Irina-Kira [14]

Answer:

47.88milliliters

Step-by-step explanation:

Given data

Total amount of the solution= 342 milliliters

14% is acid

Hence the amount of acid

=14/100* 342

=0.14* 342

=47.88milliliters

Therefore there are 47.88milliliters of acid

8 0

3 years ago

Un carpintero quiere cortar una plancha de triple y de 1m de largo y 60 cm de ancho, en cuadrados lo más grandes posibles. El ca

Ugo [173]

Answer: $20\ cm$

Step-by-step explanation:

The first step to solve the exercise is to make the conversion from meters to centimeters.

Since $1\ m=100\ cm$ , then the dimensions of the wood board in centimeters are:

$Lenght=100\ cm\\\\Width=60\ cm$

Now, you must find the Greatest Common Factor (GCF). The steps are:

- Descompose 100 and 60 into their prime factors:

$100=2*2*5*5=2^2*5^2\\60=2*2*3*5=2^2*3*5$

- Multiply the commons with the lowest exponents:

$GCF=2^2*5\\\\GCF=4*5\\\\GCF=20$

Therefore, the side lenght of each square must be:

$s=20\ cm$

7 0

3 years ago

PLease tell me how to do it that will give you brainliest

Evgen [1.6K]

Answer: Table H would be the correct answer;

The rule of a function is that for each x-value given there can't be more than 1 y-value

In Table F:

x = -13, then y = -2

x = -13, then y = 0

x = -13, then y = 5

x = -13, then y = 7

For the x-value -13, there are 4 different y-values, so it's not a function.

In Table G:

x = -6, then y = 3

x = -1, then y = -1

x = -1, then y = 5

x = 10, then y = -9

For the x-value -1, there are 2 different y-values, hence this isn't a function.

In Table H:

x = 1, then y = 4

x = 3, then y = 4

x = 7, then y = 4

x = 12, then y = 4

For each x-value, there is only 1 y-value, so this is a function.

In table J:

x = -9, then y = -7

x = -2, then y = -5

x = 0, then y = 0

x = 0, then y = 6

For the x-value 0, there are 2 different y-value therefore this isn't a function

Hope this helps!

6 0

3 years ago