Rewrite the following equation in standard form.

y = 10x + 8


Hint: The standard form of a linear equation isAx + By = C where A and B are not both zero, and A, B, and C are integers whose GCF is 1.



To rewrite the equation \( y = 10x + 8 \) in standard form \( Ax + By = C \), follow these steps:

1. Subtract \( 10x \) from both sides of the equation to move the \( x \)-term to the left side:

   \[
   y - 10x = 8
   \]

2. Rearrange the terms so that the \( x \)-term comes before the \( y \)-term:

   \[
   -10x + y = 8
   \]

Now, the equation is in standard form \( Ax + By = C \), where \( A = -10 \), \( B = 1 \), and \( C = 8 \).

Would you like further details or have any questions?

Here are 5 related questions to practice:
1. Rewrite the equation \( y = -3x + 5 \) in standard form.
2. Convert the equation \( 2y = 4x - 6 \) to standard form.
3. Express the equation \( y = \frac{2}{3}x - 4 \) in standard form.
4. What is the standard form of \( y = 7x + 1 \)?
5. Rewrite the equation \( 3y + 5 = 2x \) in standard form.

**Tip:** In standard form, it's often useful to keep \( A \) positive if possible.

Rewrite the following equation in standard form. y = 10x + 8

Learn how to convert the linear equation y = 10x + 8 into standard form Ax + By = C. This detailed solution walks through moving terms and rearranging the equation to fit the standard form, ideal for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation