Math Problem Statement

-3=5x-y

Complete the table for -3 = 5x - y.

Solution

The equation given is:

3=5xy-3 = 5x - y

We need to solve for yy and complete the table for the given values of xx. Let's rearrange the equation to isolate yy:

y=5x+3y = 5x + 3

Now, we can substitute the values of xx into this equation to find yy for each case:

  1. When x=1x = -1: y=5(1)+3=5+3=2y = 5(-1) + 3 = -5 + 3 = -2

  2. When x=0x = 0: y=5(0)+3=0+3=3y = 5(0) + 3 = 0 + 3 = 3

  3. When x=1x = 1: y=5(1)+3=5+3=8y = 5(1) + 3 = 5 + 3 = 8

The completed table is:

xxyy
-1-2
03
18

Would you like further details or clarifications?

Here are 5 related questions you might find useful:

  1. How do you graph the equation y=5x+3y = 5x + 3?
  2. What is the slope and y-intercept of the equation y=5x+3y = 5x + 3?
  3. How would the table change if the equation was y=5x3y = 5x - 3 instead?
  4. What is the meaning of the solution in the context of linear functions?
  5. How do you verify your solutions by substituting the values back into the original equation?

Tip: Always check your solutions by plugging values of xx back into the original equation to ensure consistency.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

y = 5x + 3

Theorems

-

Suitable Grade Level

Grades 7-9