alexwing285
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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

Respuesta :

Its option A
where the lines intersect x satisfies both y = 3x+5 and y = 2x - 7
carlosego

Keywords:

System of equations, ordered pair, variable, graphic solution

For this case we have the following equation: [tex]3x + 5 = 2x - 7[/tex], which we can rewrite as a system of two equations with two variables of the form:

[tex]y = 3x + 5\\y = 2x-7[/tex]

  • Algebraic solution:

We equate the equations, obtaining[tex]3x + 5 = 2x - 7[/tex]. 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 [tex](x, y)[/tex]which is the solution of the system of equations.

  • Graphic solution:

We graph both equations. The solution of the system of equations is the point of intersection [tex](x, y)[/tex] of both lines.

So, we have that the solution of [tex]3x + 5 = 2x - 7[/tex] is the x - coordinate of the intersection point of the lines[tex]y = 3x + 5[/tex] and [tex]y = 2x - 7[/tex]

Answer:

The x-coordinate of the intersection point of the lines [tex]y = 3x + 5[/tex] and [tex]y = 2x - 7[/tex]

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