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So we have two equations
x - y = 34
x + y =212
Let's take the first equation and put it in terms of x
x-y+y= 34+y
x= 34 + y
Now that we have a value for x, substitute it into the second equation for x and solve for y.
(34+y)+y=212
34+y+y = 212
34+2y= 212
34-34+ 2y=212-34
2y= 178
2y/2=178/2
y= 89
Now that we know the value for y, we can substitute it into the first equation and solve for x.
x-89=34
X-89+89=34+89
X=123
Y= 89
X =123
ANSWER
Domestic Stamps: 123
Foreign Stamps: 89
So we have two equations
x - y = 34
x + y =212
Let's take the first equation and put it in terms of x
x-y+y= 34+y
x= 34 + y
Now that we have a value for x, substitute it into the second equation for x and solve for y.
(34+y)+y=212
34+y+y = 212
34+2y= 212
34-34+ 2y=212-34
2y= 178
2y/2=178/2
y= 89
Now that we know the value for y, we can substitute it into the first equation and solve for x.
x-89=34
X-89+89=34+89
X=123
Y= 89
X =123
ANSWER
Domestic Stamps: 123
Foreign Stamps: 89
After solving the system of linear equations, Malik has 123 domestic stamps and 89 foreign stamps.
- Let x represent the number of domestic stamps.
- Let y represent the number of foreign stamps.
Given the following system of equations:
[tex]x - y = 34\\\\x + y = 212[/tex]
To solve the system of linear equations, we would use the elimination method:
Adding the two equations together, we have:
[tex]2x = 246[/tex]
Dividing both sides by 2, we have:
[tex]x = \frac{246}{2}[/tex]
x = 123 domestic stamps
To find the value of y:
[tex]x + y = 212\\\\y = 212 - x\\\\y = 212 - 123[/tex]
y = 89 foreign stamps
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