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

Option: A is correct.

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

Step-by-step explanation:

We are asked to find the solution of the equation:

3 x+5=2 x-7.

We can also equate these equation to y so that:

y=3 x+5=2 x-7

i.e. we plot the equation:

y=3 x+5

and y=2 x-7

and see the intersection point and the solution will be the x-value of the coordinate of the intersection point.

The solution is:

x= -12.

As the equation is in a single variable 'x' hence the solution of the equation is the value of x.

Hence, the solution of 3x + 5 = 2x – 7 is:

(A. the x-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x – 7 )

Option: A is correct.

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c. (3,2,6) is the answer.