How Did the Equation Change to y = x + 30?

In summary, the conversation discusses a question on linear equations and how it relates to a non-linear equation. The individual provides an incorrect solution and asks for clarification on how the second equation, y = x + 30, was obtained. The conversation ends with a thank you for the assistance.
  • #1
nukeman
655
0
**Quick: Just a SIMPLE question on Linear equation.

Homework Statement



Ok,

5x + 2(30) = y

turns into:

5/3x + 20 = y (that is 5 over 3 x)

Now it says something I don't understand.

"We now have two equations:

y = 5/3x + 20 and y = x + 30 (How did it get y = x + 30?)



Homework Equations





The Attempt at a Solution



Thanks, appreciate it!
 
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  • #2


nukeman said:

Homework Statement



Ok,

5x + 2(30) = y

turns into:

5/3x + 20 = y (that is 5 over 3 x)

I don't understand this, your book went from a linear line to a non-linear line?
 
  • #3


nukeman said:

Homework Statement



Ok,

5x + 2(30) = y

turns into:

5/3x + 20 = y (that is 5 over 3 x)
Perhaps you mean (5/3)x+ 20= y but even that is wrong. Dividing 5x+ 2(30)= y through by 3 gives (5/3)x+ 20= (1/3)y.

Now it says something I don't understand.

"We now have two equations:

y = 5/3x + 20 and y = x + 30 (How did it get y = x + 30?)
Presumably y= x +30 is given by some other condition before what you have quoted.



Homework Equations





The Attempt at a Solution



Thanks, appreciate it!
 

FAQ: How Did the Equation Change to y = x + 30?

What is a linear equation?

A linear equation is an algebraic equation that contains only variables raised to the first power and constants. It has a constant rate of change and forms a straight line when graphed.

How do you solve a linear equation?

To solve a linear equation, you need to isolate the variable on one side of the equation by performing inverse operations. This means undoing any addition, subtraction, multiplication, or division that is being done to the variable. Once the variable is isolated, you can solve for its value.

What is the slope-intercept form of a linear equation?

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line and b represents the y-intercept, or the point where the line crosses the y-axis.

How do you graph a linear equation?

To graph a linear equation, you can use the slope-intercept form to plot the y-intercept and then use the slope to plot additional points on the line. You can also plot the x and y-intercepts to create a graph.

What is the importance of linear equations in science?

Linear equations are important in science because they can be used to model real-world situations and make predictions. They are also used in many scientific calculations, such as determining rates of change and finding relationships between variables.

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