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Mariulka [41]
3 years ago
7

Five times a number plus four times the same number is equal to 360. What is the number?

Mathematics
2 answers:
eduard3 years ago
8 0
5x40=200
4x40=160
200+160=360
Lorico [155]3 years ago
5 0

Answer:

The number is 40.

Step-by-step explanation:

Let the number be x.

Given the statement: Five times a number plus four times the same number is equal to 360.

"Five times a number" means 5x

"Four times the same number" means 4x

Then, as per the given information we have;

5x + 4x = 360

Combine like terms;

9x = 360

Divide both sides by 9 we get;

x = 40

Therefore, the number is, 40.

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Find the solution to the system of linear equations y = 5x + 4 and y = −3x + 12 using the intersection method. Check your answer
Umnica [9.8K]

Answer:

The solution to the system of linear equations is (1,9).

Step-by-step explanation:

The given system of linear equations

y=5x+4            ... (1)

y=-3x+12           .... (2)

Subtract equation (2) from equation (1) to eliminate y.

y-y=(5x+4)-(-3x+12)

0=5x+4+3x-12

On combining like terms, we get

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Substitute x=1 in equation (1).

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