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4 years ago

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

Mathematics

1 answer:

Iteru [2.4K]4 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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Answer:

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Step-by-step explanation:

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4 years ago

Joan found a large metal bar that weighed 36 grams. Joan was also able to determine that the bar had 18 grams of zinc. What perc

tatiyna

Answer:

The weight of the zinc in the metal bar was 50% of the weight of the metal bar .

Step-by-step explanation:

Weight of the metal bar ,M= 36 g

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3 years ago

The compound amount is $…The amount of interest earned is $…

nadya68 [22]

In order to calculate the compound amount and the amount of interest earned, we can use the formula below:

$A=P\cdot(1+\frac{i}{n})^{nt}$

Where A is the compound amount after t years, P is the principal (initial amount) i is the interest rate and n is how many times the interest is compounded in a year.

So, for P = 71000, i = 0.0102, t = 4 and n = 4, we have: