Question

Consider the following system of equations.ſ x - 4y = -34x - 2y = -12Step 2 of 2: Determine if the point (3, 1) lies on both of the lines in the system of equations by substituting theordered pair into both equations.

Answer 1

Given:

x - 4y = -3

4x - 2y = -12

To determine if the point (3, 1) lies on both of the lines in the system of equations:

Substitute (3, 1) in the first equation, we get

3 - 4(1) = -3

3 - 4 =-3

-1 = -3

But,

`-1\\e-3`

Substitute (3, 1) in the second equation, we get

4(3) - 2(1) = -12

12 - 2 = -12

10 = -12

But,

`10\\e-12`

Hence, the answer is, No.

The point (3, 1) does not lie on both of the lines in the system of equations.