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

answer: 12

step-by-step explanation:

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: