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

Click For Summary
SUMMARY

The discussion centers on the transformation of the linear equation from 5x + 2(30) = y to y = x + 30. The initial equation simplifies to y = (5/3)x + 20, but confusion arises regarding the derivation of y = x + 30. Participants clarify that y = x + 30 likely stems from an additional condition not included in the original statement. The correct interpretation of the equations is crucial for understanding linear relationships.

PREREQUISITES
  • Understanding of linear equations and their forms
  • Basic algebraic manipulation skills
  • Familiarity with the concept of slope-intercept form
  • Knowledge of equation transformations
NEXT STEPS
  • Study the derivation of linear equations from standard forms
  • Learn about slope-intercept form and its applications
  • Explore the concept of simultaneous equations in algebra
  • Investigate how additional conditions affect linear equations
USEFUL FOR

Students learning algebra, educators teaching linear equations, and anyone seeking to clarify the transformation of algebraic expressions.

nukeman
Messages
651
Reaction score
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!
 
Physics news on Phys.org


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?
 


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!
 

Similar threads

How many birds of each kind did I buy?
  • · Replies 5 ·
Replies
5
Views
2K
How Can You Solve This Modulus Equation with Square Roots and Absolute Values?
  • · Replies 1 ·
Replies
1
Views
2K
How to Predict Outcomes of New Equations Without Solving for Variables?
  • · Replies 18 ·
Replies
18
Views
4K
How Can I Verify the Solution to the Equation 2y + 30 = 8y?
  • · Replies 10 ·
Replies
10
Views
2K
How much of a 10 liter 30% acid solution must be replaced
  • · Replies 4 ·
Replies
4
Views
2K
Is (y + z)x1 = (y1 + z1)x the equation of a straight line in 3D space?
  • · Replies 17 ·
Replies
17
Views
3K
Finding x in Parallel Lines Geometry Problem
  • · Replies 5 ·
Replies
5
Views
2K
How Do You Form a Linear Equation for the Equipment's Value Over 10 Years?
  • · Replies 3 ·
Replies
3
Views
3K
Find the scalar, vector, and parametric equations of a plane
  • · Replies 8 ·
Replies
8
Views
3K
Find the scalar, vector, and parametric equations of a plane
  • · Replies 10 ·
Replies
10
Views
3K