Question

Solve the system of linear equations by substitution. Check your solution.

2x + y = 4
-3x + y = -1

Answer 1

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 - 2x

Substitute this value of y in (2), we get

-3x + y = -1  ⇒    -3x  + 4 - 2x = -1

or,  -5x = -5

or,   x  = 1

Also, 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.