How many variables does the equation y = 3x - 5 have? How many solutions does the equation y = 3x - 5 have? How could you show the solution(s) graphically?

Respuesta :

Answer:

The equation y = 3x - 5 has 2 variables: x and y.

The equation y = 3x - 5 has infinite solutions.

Step-by-step explanation:

Using the image as a reference you could see how the equation y = 3x - 5 is put on a graph. To graph this you want to first start with knowing y=mx+b. M stands for you slope, x stands for your x value, b stands for the y-intercept, and y stands for the y value. You are given both your slope and y-intercept. First put down your y-intercept which is -5 at point (0,-5) (use the image as reference.) You are then given a slope of 3. To graph the slope on the graph you want to rise 3 and run one since 3/1 equals 3. This would then get you to the point (1,-2) where you could just do a straight line on your graph from the two points to get the rest of the line graphed.

Ver imagen ColeS1212

The given equation has 2 variable which is x and y.

The equation has infinitely many solutions.

The equation has infinitely many solutions graphically.

Given that,

Equation of line; y = 3x -5,

According to the question,

The given equation of the line is,

y = 3x-5

1. The number of the variable does the equation have is,

The given equation has 2 variable which is x and y.

2. The equation has the solution when the value of x = 0.

[tex]\rm y = 3x-5\\\\y = 3(0)-5\\\\y = -5[/tex]

And the solution of the equation when the value of y = 0

[tex]\rm y = 3x-5\\\\0 = 3x-5\\\\3x = 5\\\\x = \dfrac{5}{3}\\\\x = 1.6[/tex]

The equation has infinitely many solutions.

3. The equation has infinitely many solutions graphically.

For more details refer to the link given below.

https://brainly.com/question/14300335

Ver imagen psm22415