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3 years ago

How many solutions does the system have? y=3x+3 y=-2x+3

Mathematics

2 answers:

STatiana [176]3 years ago

8 0

Answer:

One solution (0, 3).

Step-by-step explanation:

As both expressions in x are equal to y:

3x + 3 = -2x + 3

3x + 2x = 3 - 3

5x = 0

x =0.

So y = 3(0) + 3 = 3.

padilas [110]3 years ago

3 0

Answer:

The system has a unique solution pair (x,y)

Step-by-step explanation:

Since both linear equations are given to you solved for "y", each equation is in "slope-intercept form" which is unique. These equations show that they possess different slopes (signaled in bold in the equations below):

y = 3 x +3

y = -2 x +3

(one has slope "3" and the other one slope "-2"), and therefore they are forced to intersect. One represents a line going up (positive slope) and the other one a line going down (negative slope). That means that the system will intersect in one well defined point on the plane, giving a UNIQUE solution to the system.

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How do i solve this

aleksandr82 [10.1K]

Replace g for -2 and h for 5.

(2(-2) + 9(5) -5) - (6(-2) - 4(5) +2)

Taking this one at a time,
2(-2) = -4, and 9(5) = 45.
6(-2) = -12 and -4(5) = -20

(-4 + 45 - 5) - (- 12 - 20 +2)

Let’s distribute the negative symbol to the right side.

(-4 + 45 - 5) + (12 + 20 - 2)

Then, we solve!
(-4 + 40) + (12 + 18)

(36) + (30)

= 66!

8 0

3 years ago

Read 2 more answers

What is 9 - 2 to the power 2 to the power of 4 / 4 + 3 to the power of 5

lukranit [14]

Answer:

what is 3x to the power of 2 ×4x to the power of 5

6 0

3 years ago

Select all ratios equivalent to 15:5. 9:3 6:2 3:1

natali 33 [55]

Answer:

All three.

Step-by-step explanation:

All three of these ratios are equivalent to 15:5. Here's how:

Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3, so these ratios are equivalent.

Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.

Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.

Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!

6 0

3 years ago

A class of 33 students elected a class treasurer. There were 11 votes for Candidate A and 15 votes for Candidate B. The remainin

vovangra [49]

To start out, notice that you want the percent of voters that chose candidate A, not the percent of the class that chose candidate A.

Your fraction should be "number that chose candidate A" out of "number of voters," which is the same thing as saying:
"number that chose candidate A" divided by "number of voters"

1) The numerator of the fraction should be the number of votes for candidate A, which is 11.

2) The denominator of the fraction should be the number of voters. You're told that "there were 11 votes for Candidate A and 15 votes for Candidate B," so there are:
 $11 + 15 \: total \: votes$

3) Finally put parts 1 and 2 together into a fraction and multiply by 100 to get your percent. That is your final answer:
$\frac{11}{11+15} \times 100$

----

Answer: Top right choice, $\frac{11}{11+15} \times 100$

5 0

3 years ago

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V125BC [204]

Answer is every second

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3 years ago