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mihalych1998 [28]
2 years ago
6

Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the s

ame solutions as the one shown. 8x + 7y = 39 and 4x – 14y = –68
Mathematics
2 answers:
mylen [45]2 years ago
5 0

Answer:

Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).

Step-by-step explanation:

lana66690 [7]2 years ago
4 0
Before you will sum up the following equation, first you must multiply the first equation by two and came up with 16x+14y=78 and then add it to the second equation which is 4x-14y=-68 and the remaining variable is 20x=10 then get the value of X and the value is 1/2 or 0.5. I hope you are satisfied with my answer 
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The product of which expression contains four decimal places?
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D.) 14.2*0.784

Step-by-step explanation:when you calculate it, there is 4 numbers behind the decimal point.

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3 years ago
What number equals 2/9?​
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2 years ago
You need 2b cups of flour for making b loaves of bread. You have 8 cups of flour . Do you have enough for 5 loafs of bread?Expla
lubasha [3.4K]

Answer:

No.  I don't have enough Flour to make 5 loaves of bread.

From the Amount of flour i had i can make 4 loaves only.

Step-by-step explanation:

Given:

Flour required for making loaves of bread = 2b cups

Amount of flour i had = 8 cups

Number of loaves of bread = b

We need to find the we have enough flour to make 5 loafs of bread.

Solution:

We know that;

Amount of flour I had is equal to Flour required for making loaves of bread

framing in equation form we get;

2b=8

Dividing both side by 2 we get;

\frac{2b}{2} =\frac{8}{2}

b=4

Hence From the Amount of flour i had i can make 4 loaves only.

Hence I don't have enough Flour to make 5 loaves of bread.

3 0
2 years ago
Alex purchased 3 packs of baseball cards that cost $2.50 each. He also purchased 2 packs of card protectors that cost $3.00 each
vampirchik [111]

Answer:

6.50

Step-by-step explanation:

You have to add/multiply 2.50 by 3 to get the total cost of the cards. 2.50*3=7.5. then, you need to add/multiply 3.00 by 2 to get 6. 7.5+6= 13.5. 20-13.5=6.50.

the change was $6.50

6 0
3 years ago
Help help help help
Alex

Answer:

<h3>b=\frac{t-5}{4}</h3>

Step-by-step explanation:

4b+5=t

First, you must get the variable alone! Substract 5 from both sides!

4b<u>+5=t </u>

    -5  -5

The 5 cancels out because 5-5=0

The new equation is 4b=t-5

You must divide by 4 to get the variable alone since your solving for b!

<u>4b=t-5</u>

4      4

b= \frac{t-5}{4} \\

This is your answer!

5 0
2 years ago
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