Question

solve the following by setting up the proper equations to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). let x represent the larger number and y represent the smaller number. enter your answer in (x, y) format.

the sum of two numbers is 38. their difference is 4. determine the two unknown numbers.

Explanation:

Translate the word problem into equations

Using the Translating Word Problems knowledge point

$$
LATEXBLOCK0
$$

Solve the system of linear equations

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Solve for the remaining variable

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK2
$$

Answer:

Solve the following by setting up the proper equations to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). Let x represent the larger number and y represent the smaller number. Enter your answer in (x, y) format.

The sum of two numbers is 38. Their difference is 4. Determine the two unknown numbers.

Answer: <blank>\((21, 17)\)</blank>