How do you determine the solution in terms of a system of linear equations for 5x+7y=41 and 3x+7y=47?
2 Answers
Explanation:
There are numerous ways But i shall do the easiest one
Now the Final part;
Plug the value in ---1
Now there is the graphical and mechanical way of solving this
Mechanical(Boring ,No fun);
You should write a variable in terms of the other variable.
Explanation:
x = (41 - 7y)/5
In the other equation, we have
3x + 7y = 47
We know that we can write
3 * (41 - 7y)/5 + 7y = 47
In order to solve this equation, you need to expand it;
(123 - 21y)/5 + 7y = 47
123 - 21y + 35y = 235
14y = 112 implies y=8
Then you can easily find
5x + 7y = 41
5x + 56 = 41
5x = -15 implies x = -3
3x + 7y = 47
3x + 56 = 47
3x = -9 implies x = -3
So the result is;