Question

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

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

Answer 1

x = 1 and y = 2 is the solution of the given system of equations.

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.