How to find the point of intersection of graphs of linear functions y-3-3x, y = x + 7

We need to find the point of intersection of the graphs of the function y = 3 – 3x, y = x + 7 for this we have to solve a system of these equations.

System of equations:

y = 3 – 3x;

y = x + 7.

We will solve the system by the substitution method. We substitute the expression x + 7 in the first equation of the system instead of y and solve the resulting linear equation:

x + 7 = 3 – 3x;

y = x + 7.

We solve the equation:

x + 3x = 3 – 7;

4x = -4;

x = -1.

System of equations:

x = -1;

y = x + 7.

Find the value of the variable y, substitute the found x into the second equation.

System:

x = -1;

y = -1 + 7 = 6;

Answer: (-1; 6).