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Rus_ich [418]
3 years ago
9

Solve this system of equations by using substitution 3x + 5y = 23 y= x + 3

Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

Answer:

x=1

y=4

(1,4)

Step-by-step explanation:

TO SOLVE FOR X:

1. Substitute y=x+3 into the equation. This should look like this:

3x+5(x+3)=23

2. Use the distributive property.

3x+5x+15=23

3. Simplify:

8x+15=23

4. Subtract 15 from both sides. It should now lool like this:

8x=8

5. Divide both sides by 8.

x=1

TO SOLVE FOR Y:

1. Take x and substitute into original statement:

3(1)+5y=23

2. Simplify:

3+5y=23

3. Subtract 3 from both sides:

5y=20

4: Simplify:

y=4

CHECK ANSWER:

y=x+3

1. Substitute your answers

4=1+3

2. Simplify

4=4

3. Check for Truth. Is 4=4?

Yes. So your final answer is:

x=1

y=4

(1,4)

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koban [17]
Step 1. Type it into a Google search box or calculator. (You need to use a calculator anyway.) The result is 3177 4/9.

If you're doing this according to the Order of Operations, you do the multiplication and division left to right. This means the first calculation you do is
  255/6 = 42.5
Next, you multiply by 672
  42.5*672 = 28560
Then divide by 9
  28560/9 = 3173 3/9

You continue by doing the division
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And finish by adding the two results
  3173 3/9 + 4 1/9 = 3174 4/9

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If you're doing this by hand, you can recognize the first term as the product of two fractions, so is the product of numerators divided by the product of denominators.
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Using your knowledge of divisibility rules, you can do the division 672/6 to simplify this to
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Now, the first term and the second term have the same denominator, so you can add the numerators before you do the division.
  (255*112 + 37)/9 = (28560 + 37)/9 = 28597/9
You end up having to do only two simple divisions, rather than 3 of them.
  28597/9 = 3177 4/9

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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next,we have to isolate the variable, so we add (6) to (-1)

then we get 3t=5

so, t=5/3

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Step-by-step explanation:

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3 years ago
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Mrrafil [7]

Answer:

x = 10

Step-by-step explanation:

9x - 40 = 3x + 20

<u>9</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>x</u> - 40 = <u>3x - 3x</u> + 20

6x - 40 = 20

6x <u>-</u><u> </u><u>40</u><u> </u><u>+</u><u> </u><u>40</u> = <u>20</u><u> </u><u>+</u><u> </u><u>40</u>

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<u>6x</u><u> </u><u>/</u><u> </u><u>6</u> = <u>60</u><u> </u><u>/</u><u> </u><u>6</u>

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Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!

7 0
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Answer:

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Step-by-step explanation:

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