00:01
So in the given question we are told that a student purchased five pens, a student purchased two, five pens and two pencils.
00:11
Let's write this down.
00:13
Five pens and two pencils, two pencils for $35.
00:22
For $35.
00:24
And another student purchased six pencils, six.
00:30
Pencils and two pens for fifty eight dollars now we are asked to find now we are told if x is representing the cost of one pencil if x represents cost of one of one pen and y is representing the cost of one pen and y is representing the cost of one pencil, cost of one pencil, then we have to find, we have to form a linear, a pair of linear equations with this data.
01:15
So what we could do is if one pen is having a cost of x dollars, then five pens would cost five x dollars, right? in the same manner, if one pencil has a cost of x dollars.
01:30
Cost of y two pencils would cost two y dollars right if one pencil cost us y dollars two pencils would cost us two y dollars so using this logic we can write then 5x plus 2 y would be equal to the total that one of the student has spent which is $35 and the other student who spent who bought two pens and six pencils would have well can be represented by 2x plus 6 y and he has spent a total of $58 so these are the two linear pair of linear equations that represent this data so this is what we are asked in the question.
02:32
I hope you understood the method.
02:34
Now, if you were to find the actual cost of one pencil and one pen, we can do that also.
02:43
And what we would do in that case is we would call this as equation number one and let's call this as equation number two.
02:51
We would eliminate at least one variable from both of these equations.
02:56
So the way we would do that is we would multiply...