SOLUTION: How do you solve 5x-y=-15 and x+y=-3 using the substitution method? The end result should be a set of x and y coordinates.

Algebra ->  Expressions-with-variables -> SOLUTION: How do you solve 5x-y=-15 and x+y=-3 using the substitution method? The end result should be a set of x and y coordinates.       Log On


   



Question 230307: How do you solve 5x-y=-15 and x+y=-3 using the substitution method? The end result should be a set of x and y coordinates.
Found 2 solutions by mando271, stanbon:
Answer by mando271(42) About Me  (Show Source):
You can put this solution on YOUR website!
1st solve for x or y and substitute with either problem..
I will solve for x using x+y=-3, it's the simplest.
so x=-3-y... now substitute that into the other equation to solve for y.
5(-3-y)-y=-15
-15-5y-y=-15
-6y=0
y=0
now substitute this into the 1st equation.
x+0=-3
x=-3
coordinates are (-3,0)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do you solve 5x-y=-15 and x+y=-3 using the substitution method? The end result should be a set of x and y coordinates.
-------------------
5x-y = -15
x + y = -3
-------------------
Solve the 2nd equation for "x":
x = -3-y
---
Substitute that into the 1st equation to get:
5(-3-y) - y = -15
-15 - 6y = -15
6y = 0
y = 0
==============
Since x = -3-y, x = -3
==========================================
Solution: (-3.0)
------------------------------------------
Cheers,
Stan H.