Value of y-x is -5. Given:
4x - 3y = 14
To find:
if (x,y) is a solution to the system of equations above, what is the value of y-x?
Solution:
Tip: Add the equations for the result, no need to solve for x and y separately.
Step 1:
Add both equations.
3x - 4y = 21 4x-3y=14
7x - 7u = 35
or
take 7 common from both sides and
cancel.
x - u = 5
Step 2:
Take (-) common.
To find the value of y-x, take (-) common from LHS and send to
RHS.
- (- x + y) = 5
or
y - x = - 5
Thus,
Value of y-x is -5.
Learn more:
1) 2x+3y=9 and 4x-6y-18 solve using
substitution method