Question

Use the substitution method to solve the following system of linear equations: 2x + 2y = 10 x = –y + 5?

Answer 1

Step 1:

The linear equations are and .

Substitute in .

By substituting method there is no solution.

Slope-intercept form of a line equation is , where is slope and is -intercept.

Convert the equation into Slope-intercept form.

Compare with .

and .

Convert the equation into Slope-intercept form.

.

Compare with .

and .

The slopes of two lines are equal, so the lines are parallel.

Parallel lines are does not intersect to each other.

The system is inconsistent, there is no solution.

Solution:

The system is inconsistent, there is no solution.