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Use graphing to find the x-coordinate of the solution to the following system of equations.y = −x − 1y  =  x − 3

Question

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Solution

Step 1: Understand the equations The given system of equations is: y = -x - 1 y = x - 3

Step 2: Graph the equations You can graph these equations on a graph paper or using a graphing calculator. The first equation is a straight line with a slope of -1 and y-intercept of -1. The second equation is a straight line with a slope of 1 and y-intercept of -3.

Step 3: Find the intersection point The solution to the system of equations is the point where the two lines intersect. This is because the x and y values at this point satisfy both equations.

Step 4: Identify the x-coordinate Once you find the intersection point, the x-coordinate of this point is the solution to the system of equations.

By graphing these two equations, you will find that they intersect at the point (1,-2). Therefore, the x-coordinate of the solution to the system of equations is 1.

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