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28 votes
28 votes
Solve the system algebraically.

2x + y - 10 = 0
X-y-5= 0
What is the value of y?
-5 /3
5
0

User Zhenyi Zhang
by
2.7k points

2 Answers

11 votes
11 votes

Answer:

Let 2x + y - 10 = 0 be equation (a).

Let x - y - 5 = 0 be equation (b).

Make y the subject in equation (b):


{ \tt{x - y - 5 = 0}} \\ { \tt{y = x - 5}}

Substitute for y in equation (a):


{ \tt{2x + (x - 5) - 10 = 0}} \\ { \tt{3x - 15 = 0}} \\ { \tt{3x = 15}} \\ { \tt{x = 5}}

Find y in any equation of your choice:


{ \tt{y = (5) - 5}} \\ y = 0

User Zlodes
by
3.2k points
23 votes
23 votes
hope this helps! I used substitution method! feel free to clarify!
Solve the system algebraically. 2x + y - 10 = 0 X-y-5= 0 What is the value of y? -5 /3 5 0-example-1
User Chad Moran
by
3.1k points