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Eduardwww [97]
3 years ago
8

The sum of two numbers is 56. the first number is 2/5 of the second number. Let x represent the first number and y represent the

second number. choose the correct system of equations.
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0
I believe it would be x + y = 56
SpyIntel [72]3 years ago
4 0
Hello, 

x= first number
y= second number

their sum is 56, so:
x+y=56

The first number is 2/5 of the second number, so:
x= \frac{2}{5}y

Those are the two equations.
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B) Which one of the following points lies on the line 2y = 5x - 3?
sergeinik [125]
Given the equation 2y = 5x - 3:

A way to find out which of the ordered pair options lie on the line is to substitute their coordinates into the equation.


A) (2, 5)
2y = 5x - 3
2(5) = 5(2) - 3
10 = 10 - 3
10 = 7 (False statement). this means that (2, 5) is not a solution to the given equation.

B) (6, 3)
2y = 5x - 3
2(3) = 5(6) - 3
6 = 30 - 3
6 = 27 (False statement). this means that (6, 3) is not a solution to the given equation.

C) (3, -6)
2y = 5x - 3
2(-6) = 5(3) - 3
-12 = 15 - 3
-12 = 12 (False statement). this means that (3, -6) is not a solution to the given equation.

D) (3, 6)
2y = 5x - 3
2(6) = 5(3) -3
12 = 15 - 3
12 = 12 (True statement). This means that (3, 6) IS a solution to the given equation.

E) (2, -5)
2y = 5x - 3
2(-5) = 5(2) - 3
-10 = 10 - 3
-10 = 7 (False statement). this means that (2, -5) is not a solution to the given equation.

Therefore, the correct answer is Option D: (3, 6).
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Step-by-step explanation:

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