If x*6 and y*7-1 equal 48, what numbers are x and y?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
6x + 7y - 1 = 48
We assume that and signifies the operation of addition, since we are also given an equal of 48, and the operation of subtraction is stated in -1.
Solution:
In order to find for the values of x and y, we transpose -1 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
6x + 7y - 1 = 48
6x + 7y = 48 + 1
6x + 7y = 49
Now we can solve for x and y individually.
Solve for x.
Transpose 7y on the other side and divide both sides by 6 in order to cancel out 6x.
6x = 49 - 7y
x = 49/6 - 7/6y
Solve for y.
7y = 49 - 6x
y = 7 - 6/7x
Final answer:
x = 49/6 - 7/6y
y = 7 - 6/7x