Ask question

Ask question

All categories

3 years ago

9

Is (4,-3) a solution to this system? 3x-3y=21 5x+4y=24

2 answers:

Elena-2011 [213]3 years ago

8 0

Welcome to Brainly!

We have the following system of linear equations:

3x-3y=21

5x+4y=24

We could solve this system through elimination: Multiply the first equation by 5 and the second equation by -3. When you add together the results, x will drop out. This is a great approach.

But you could take a short cut by subst. the coordinates (4,-3) into both of the given linear equations. IF both equations are true after this substitution, then you know that (4,-3) is a solution. Let's try it:

3(4) - 3(-3) = 21 => 12 + 9 = 21. This is true. But we must ALSO check whether (4,-3) satisfies 5x+4y=24: 5(4) + 4(-3) = 24 => 20 - 12 = 12. This is NOT equal to 24, so we must conclude that (4,-3) is NOT a solution of this system of linear equations.

Arturiano [62]3 years ago

7 0

No it is not. although it fits the first equation, it doesn’t fit the second.

You might be interested in

What is a verbal expression for w - 24

Alenkasestr [34]

A number minus twenty four

6 0

3 years ago

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

sp2606 [1]

I believe it is the second one

7 0

3 years ago

Hoochie [10]

Answer:

10% chance or 1/10

Step-by-step explanation:

5 out of the 100 cards are free lunches simplified it would be

1/10

8 0

3 years ago

Read 2 more answers

Now factor the expression. 1/2 a + 6

Sophie [7]

Answer:

1a+12/2

Step-by-step explanation:

1/2a+6

1/2a+6/1

1/2a+6/1*2

1/2a+12

1a+12/2

3 0

3 years ago

Amy reached into a bag, recorded the color of the tile she picked, returned the tile and drew again. These are the tiles she has

Vedmedyk [2.9K]

Answer:

(a) P(next ball with blue) = $\frac{3}{10}$ (b) P(Not to be red) = $1-\frac{2}{5} =\frac{3}{5}$

(c) P(drawing 70 times yellow ball) = $\frac{1}{10} \times 70 = 7$ .

Step-by-step explanation:

Given that,

The total outcomes of the color of tile are :-

Red , Red, Blue, Yellow, Blue, Red, Green, Red, Blue, Green.

From the Question,

Total number of outcomes = 10

(a) What is the probability that her next draw will be blue ?

Red = 4,

Blue = 3,

Green = 2,

Yellow = 1.

P(next ball with blue) = $\frac{3}{10}$ .

(b) What is the probability that her next draw will NOT be red?

P(Red ball) = $\frac{4}{10} = \frac{2}{5}$

But we have to find

P(Not to be red) = $1-\frac{2}{5} =\frac{3}{5}$

(c) If Amy draws 70 more times with the same tiles from the question above, what probability would you expect a yellow?

P(Yellow ball) = $\frac{1}{10}$

drawing it 70 times we get the probability

P(drawing 70 times yellow ball) = $\frac{1}{10} \times 70 = 7$ .

5 0

3 years ago