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nata0808 [166]
3 years ago
10

Five times a number minus twice another number equals twenty-two. The sum of the numbers is three. Let the first number = x and

the second number = y. Find the numbers. Write answer as an ordered pair (x,y) with no spaces.
Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

The ordered pair is (4,-1)

Step-by-step explanation:

Let

x ---> the first number

y ---> the second number

we know that

Five times a number minus twice another number equals twenty-two

so

5x-2y=22 -----> equation A

The sum of the numbers is three

so

x+y=3

isolate the variable y

y=3-x ----> equation B

substitute equation B in equation A

5x-2(3-x)=22

solve for x

5x-6+2x=22\\7x=22+6\\7x=28\\x=4

Find the value of y (equation B)

y=3-4=-1

threrefore

The ordered pair is (4,-1)

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