170k views
24 votes
What is the y-coordinate of the solution to the system of equations? 5x-y=25 4x+3y=1

1 Answer

11 votes

Answer:

The y-coordinate of the solution is thus -5.

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.

User Stanislav Prusac
by
5.4k points