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;