contestada

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

Respuesta :

musiclover10045

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.

MrRoyal

Malik has 123 domestic stamps and 89 foreign stamps

The equations are given as:

[tex]x - y = 34[/tex]

[tex]x + y = 212[/tex]

Make x the subject in [tex]x - y = 34[/tex]

[tex]x =34 + y[/tex]

Substitute 34 + y for x in [tex]x + y = 212[/tex]

[tex]34 + y + y = 212[/tex]

Evaluate like terms

[tex]34 + 2y = 212[/tex]

Subtract 34 from both sides

[tex]2y = 178[/tex]

Divide both sides by 2

[tex]y = 89[/tex]

Substitute 89 for y in [tex]x =34 + y[/tex]

[tex]x = 34 + 89[/tex]

[tex]x = 123[/tex]

Hence, Malik has 123 domestic stamps and 89 foreign stamps

Read more about system of equations at:

https://brainly.com/question/14323743

Otras preguntas