Question

Wayne is solving a system of linear equations. y = - 3/4 * x + 5 x = - 2 To solve this system, he graphed the line y = - 3/4 * x + 5 . When Wayne graphs the line x = - 2 , at which point will he find the solution of this system of linear equations?

Answer 1

To find the solution of the given system of linear equations, we need to find the point at which the two lines intersect. The point of intersection is (-2, 7).

Step-by-step explanation:

To find the solution of the given system of linear equations, we need to find the point at which the two lines intersect. The first line is given by the equation y = -3/4x + 5, where the slope is -3/4 and the y-intercept is 5. The second line is x = -2, which is a vertical line passing through the point (-2, 0).

To find the point of intersection, we substitute x = -2 into the equation y = -3/4x + 5. This gives us y = -3/4(-2) + 5, which simplifies to y = 7.

Therefore, the point of intersection is (-2, 7). This is the solution to the system of linear equations.