Intersection point of linear function y = 3-x and y = 2x

In order to find the point of intersection of the linear functions y = 3 – x and y = 2x, we solve the system:

y = 3 – x;

y = 2x;

In the solution, we use the substitution method.

Substitute 2x for y in the first equation:

2x = 3 – x;

y = 2x;

We solve the resulting first equation of the system:

2x = 3 – x;

2x + x = 3;

Here are similar ones:

x (2 + 1) = 3;

3x = 3;

x = 3: 3;

x = 1.

System of equations:

x = 1;

y = 2x;

Substitute the found value of the variable x into the second equation of the system and find the value of the variable y.

System:

x = 1;

y = 2 * 1 = 2.

Answer: (1; 2).