Malik collects rare stamps and has a total of 212 stamps. solve the system of equations.
he has 34 more domestic stamps than foreign stamps. how many foreign stamps does malik have?
let x represent the number of domestic stamps and let y
represent the number of foreign stamps.
foreign stamps
this system of equations models the given information
for both stamp types.
how many domestic stamps does malik have?
x-y = 34
domestic stamps
x + y = 212

Using the two given equations:

x - y = 34

x +y = 212

Rewrite the first one in terms of x:

x = 34 + y

Now replace x in the 2nd equation:

34 + y + y = 212

Simplify:

34 +2y = 212

Subtract 34 from both sides:

2y = 178

Divide both sides by 2:

y = 178/2

y = 89

Now replace y in an equation to solve for x:

x + 89 = 212

x = 212-89

x = 123

He has 123 domestic stamps and 89 foreign stamps.

Malik has 123 domestic stamps and 89 foreign stamps

The equations are given as:

Make x the subject in

Substitute 34 + y for x in

Evaluate like terms

Subtract 34 from both sides

Divide both sides by 2

Substitute 89 for y in

Hence, Malik has 123 domestic stamps and 89 foreign stamps

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walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40