All categories

3 years ago

Which values for a b will create infinitely many solutions?

Mathematics

1 answer:

Stels [109]3 years ago

3 0

Answer:

Step-by-step explanation:

Given the 2 equations

4x - Ay = 15 → (1)

- 4x + 6y = B → (2)

The system will have infinitely many solutions if the equations are equal

Multiply (2) by - 1

4x - 6y = - B

Equations are now equal, thus equate coefficients of relevant terms

- Ay = 6y ⇒ A = - 6

- B = 15 ⇒ B = - 15

Thus A = - 6, B = - 15 → D

You might be interested in

coffee which normally sells for $2.19 per pound is now on sale for 5.49 for 3 lb how much is safe per pound by buying the three

N76 [4]

What are the answer choices.??????????

3 0

2 years ago

Evaluate: 45 n=1(4n +9) = [?]

Alenkasestr [34]

Answer: 4545

Step-by-step explanation:

Split the summation into smaller summations that fit the summation rules.

7 0

3 years ago

-5x-18y=-28 and -10x+9y=-11 solve elimination

Dmitry [639]

Answer:

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=2,\:y=1$

Step-by-step explanation:

Given the equations

$-5x-18y=-28$

$-10x+9y=-11$

solving the system of the equation by elimination method

$\begin{bmatrix}-5x-18y=-28\\ -10x+9y=-11\end{bmatrix}$

$\mathrm{Multiply\:}-5x-18y=-28\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-10x-36y=-56$

$\begin{bmatrix}-10x-36y=-56\\ -10x+9y=-11\end{bmatrix}$

$-10x+9y=-11$

$-$

$\underline{-10x-36y=-56}$

$45y=45$

$\begin{bmatrix}-10x-36y=-56\\ 45y=45\end{bmatrix}$

solve 45y=5 for y:

$45y=45$

$\frac{45y}{45}=\frac{45}{45}$

$y=1$

$\mathrm{For\:}-10x-36y=-56\mathrm{\:plug\:in\:}y=1$

solve $-10x-36\cdot \:1=-56$ for x:

$-10x-36\cdot \:1=-56$

$-10x-36=-56$

Add 36 to both sides

$-10x-36+36=-56+36$

$-10x=-20$

$\frac{-10x}{-10}=\frac{-20}{-10}$

$x=2$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=2,\:y=1$

5 0

2 years ago

How many miles per hour is 20 ft per person?

castortr0y [4]

Answer: The answer to your question is 13.636. I hope this helps you :D

7 0

2 years ago

Plz help question below

IrinaK [193]

It's the last answer because all u have to do is plug in those points for both equations and I got the solution -1/4,-4

7 0

2 years ago