Q:

Solve the system of linear equations by substitution. Check your solution. 2x + y = 4-3x + y = -1

Accepted Solution

A:
Answer: x  = 1 and y = 2 is the solution of the given system of equations.Step-by-step explanation:Here, the given system of equations is:2x + y = 4   ........  (1)-3x + y = -1  ......... (2)Now, from (1) y = 4 - 2xSubstitute this value of y in (2), we get-3x + y = -1  ⇒    -3x  + 4 - 2x = -1or,  -5x = -5or,   x  = 1Also, y  = 4 - 2x = 4 - 2(1)              = 4 -2  = 2⇒ y = 2 The point (1,2) is the solution of the given system.Hence, x  = 1 and y = 2 is the solution of the given system of equations.