120k views
1 vote
Solve the following system of linear equations using elimination. 3x- y=5 x-y=1

1 Answer

5 votes

Answer:

x = 2, y = 1

Explanation:

BY using substitution we can try to isolate one variable in terms of the other in one equation and then substitute this value in the other equation to find the values of x and y.

1. x - y = 1 (adding y in both sides to maintain equality)

x = y + 1

Y has been successfully isolated

2. substitute x in the other equation:

3x - y = 5 (substituting x = y+1)

3*(y+1) - y = 5 (distributive property of multiplication we bring 3 inside)

3y + 3 - y = 5 (we subtract 3 from every side to try to isolate y)

2y = 2 (we divide every side by 2 to isolate y completely)

y = 1 (finally we use x=y+1 to find the value of x)

x= 1+ 1 = 2

User Cindyxiaoxiaoli
by
6.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.