What is the solution of 3x + 5 = 2x – 7?
a. the x-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x – 7
b. the x-coordinates of the x-intercepts of the lines y = 3x + 5 and y = 2x – 7
c. the y-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x – 7
d. the y-coordinates of the y-intercepts of the lines y = 3x + 5 and y = 2x – 7

Keywords:

System of equations, ordered pair, variable, graphic solution

For this case we have the following equation: , which we can rewrite as a system of two equations with two variables of the form:

We equate the equations, obtaining. From here we can clear the value of "x", then substitute in any of the two equations and find the value of "y". Thus, we obtain the ordered pair which is the solution of the system of equations.

We graph both equations. The solution of the system of equations is the point of intersection of both lines.

So, we have that the solution of is the x - coordinate of the intersection point of the lines and

The x-coordinate of the intersection point of the lines and

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step-by-step explanation: