MATH SOLVE

2 months ago

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.