Question

What is the solution of 3x + 5 = 2x – 7?

Answer 1

Keywords:

System of equations, ordered pair, variable, graphic solution

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

$y = 3x + 5\\y = 2x-7$

• Algebraic solution:

We equate the equations, obtaining$3x + 5 = 2x - 7$. 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 $(x, y)$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 $(x, y)$ of both lines.

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

Answer:

The x-coordinate of the intersection point of the lines $y = 3x + 5$ and $y = 2x - 7$

Answer 2

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