Question

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.

Answer 1

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)