Answer:
The y-coordinate of the solution is thus -5.
Step-by-step explanation:
Rewrite 5x-y=25 4x+3y=1
in a column:
5x-y=25
4x+3y=1
If we want to find the y-coordinate of the solution, we need to eliminate x. Solving the second equation for 4x yieds 4x = 1 - 3y, or
x = (1 - 3y)/4.
If this is inserted into 5x - y = 12, we get:
5(1 - 3y)/4 - y = 25, or (multiplying all terms by 4 to eliminate fractions):
5 - 15y - 4y = 100, or
-19y = 95, which yields y = -5
The y-coordinate of the solution is thus -5.
