Question

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Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.

This system of equations models the given information for both stamp types.

x – y = 34

x + y = 212

Solve the system of equations.

How many foreign stamps does Malik have?

How many domestic stamps does Malik have?

Answer 1

We can eliminate one of the variables to solve for the other variable, as in both equations, y has opposite coefficients. Combine these two equations:

$2x = 246$

Divide both sides by 2 to get x by itself:

$x = 123$

Plug this value into the second equation:

$123 + y = 212$

Subtract 123 from both sides to get y by itself:

$y = 89$

Malik has 123 domestic stamps and 89 foreign stamps.