Question

Y=-6x+10. Y=-6x+3 Solve the system of equations

Answer 1

Given:

The system of equations is

$y=-6x+10$

$y=-6x+3$

To find:

The solution of given system of equations.

Solution:

Slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept.

For $y=-6x+10$, slope is -6 and y-intercept is 10.

For $y=-6x+3$, slope is -6 and y-intercept is 3.

Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.

Therefore, the given system of equation has no solution.