Solve the given system of linear equations by inspection. y=35x−5 y=−35x−5
Since the coefficients of x are the same, but the y-intercepts are different, we can conclude that the lines represented by the two equations are parallel and will never intersect. Therefore, there is no solution to the system of equations.
To solve the system of linear equations y=35x-5 and y=-35x-5 by inspection, we can simply observe that the two equations are of the form y = mx + c, where m is the slope and c is the y-intercept.
Comparing the coefficients of x in both equations, we see that in the first equation, the slope is positive (m = 35), while in the second equation, the slope is negative (m = -35).
Since the two lines have different slopes and the same y-intercept, they are parallel lines. Therefore, there is no point of intersection and the system of equations is inconsistent.
To solve the given system of linear equations by inspection, we need to observe the equations and identify if there is any direct relationship or symmetry between them.
In this case, the two equations have the same slope of -35 but different intercepts. This means that the lines are parallel and will never intersect. Therefore, there is no common solution or point of intersection in this system of equations.
In general, when solving a system of linear equations by inspection, you need to look for patterns, relationships, or symmetries between the equations. If you can identify any direct or obvious solutions, then you have solved the system by inspection. However, if there are no such patterns or relationships, you would need to use other methods like substitution or elimination to find the solution.