SOLUTION: Solve each system by substitution. Determine whether each system is independent, inconsistent, or dependent. x + 2y =3 2x + y = 5

Question 44736This question is from textbook College algebra
: Solve each system by substitution. Determine whether each system is independent, inconsistent, or dependent.
x + 2y =3
2x + y = 5 This question is from textbook College algebra

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let us solve the first one for x and substitute into the second one...we get
x + 2y =3
2x + y = 5
and
x = -2y + 3
and
2(-2y + 3) + y = 5
-4y + 6 + y = 5
-3y = -1
y = 1/3
then plugging this back into
x = -2y + 3
we get
x = -2/3 + 3
x = -2/3 + 9/3
x = 7/3
RELATED QUESTIONS
Solve each system by substitution. Determine whether each system is independent,... (answered by AnlytcPhil)

Solve each system by substitution. Determine whether each system is independent,... (answered by AnlytcPhil)

Solve each system by substitution. Determine whether each system is independent,... (answered by venugopalramana)

Solve each system by substitution. Determine whether each system is independent,... (answered by fractalier)

Solve each system by addition. Determine whether each system is independent,... (answered by fractalier)

Solve each system by substitution. Determine whether the equations are independent,... (answered by jim_thompson5910)

Solve each system by substitution. Determine whether the equations are independent,... (answered by Alan3354)