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alexandr1967 [171]
3 years ago
12

Solve the system of linear equations by substitution

Mathematics
2 answers:
elena-s [515]3 years ago
7 0
There is the equal values method, so you can do:

x-4 = 4x-10 (remove x from both sides)
-4 = 3x -10 (add ten to both sides)
6 = 3x  (devide by 3x)
2 = x

Check: (by plugging it into the equation)
y = 2-4 and y = 8-10
y = -2 and y = -2
that's matches so it is correct...
 YOUR ANSWER IS:
(2, -2)

I hoped I helped sort things out, and have a great day!
Anit [1.1K]3 years ago
5 0
Y = x-4
y = 4x-10

Compare both the equations, 
4x-10 = x-4
4x-x = 10-4
3x = 6
x = 6/3
x = 2

Now, substitute it in 1st equation, 
y = 2-4 = -2

In short, Your Answer would be (2, -2)

Hope this helps!
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3 years ago
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Hana is putting the fruit she brought into bowls. She bought 8 melons,12 pears,and 24 apples. She puts the same number of pieces
Eddi Din [679]

The <em><u>correct answer</u></em> is:

If she wants the same number of pieces of each kind of fruit in each bowl (same number of melons, same number of pears, and same number of apples in each bowl), then she can put 11 pieces in each of 4 bowls.

Explanation:

To answer this, we find the greatest common factor (GCF) of all 3 numbers. To do this, we find the prime factorization of 8, 12 and 24:

8 = 4(2)

4 = 2(2)

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12 = 4(3)

4 = 2(2)

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24 = 4(6)

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The GCF is made of all of the common factors. The factors common to all 3 numbers are 2 and 2; 2(2) = 4 for the GCF.

This means we can use 4 bowls.

She has a total of 8+12+24 = 44 pieces of fruit; 44/4 = 11. She would have 11 pieces of fruit in each bowl.

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