https://r2.erweima.ai/mathbot/image/17266095496311t7tko5d.jpg

Let's solve the visible equations from the image you uploaded. Here are the equations I can see:

1. \( x - 5x = 9 \)
2. \( 8x + 2y = 18 \)
3. \( 7x + 1 = 9 + 4y \)
4. \( -3x - y = 12 \)
5. \( 5 = -(x - 3) \)

I'll start solving each one step-by-step.

### 1. \( x - 5x = 9 \)
Simplify the left-hand side:
\[
x - 5x = -4x
\]
Now, the equation becomes:
\[
-4x = 9
\]
Solve for \( x \):
\[
x = \frac{9}{-4} = -\frac{9}{4}
\]

### 2. \( 8x + 2y = 18 \)
We can simplify this equation by dividing everything by 2:
\[
4x + y = 9
\]
Thus, \( y = 9 - 4x \).

### 3. \( 7x + 1 = 9 + 4y \)
First, subtract 1 from both sides:
\[
7x = 8 + 4y
\]
Now, isolate \( 4y \):
\[
4y = 7x - 8
\]
Finally, divide by 4 to solve for \( y \):
\[
y = \frac{7x - 8}{4}
\]

### 4. \( -3x - y = 12 \)
This can be rewritten as:
\[
y = -3x - 12
\]

### 5. \( 5 = -(x - 3) \)
Distribute the negative sign:
\[
5 = -x + 3
\]
Now, subtract 3 from both sides:
\[
2 = -x
\]
Solve for \( x \):
\[
x = -2
\]

Would you like any more details on the solutions, or do you have any questions? Here are five questions based on the problems:

1. How would you graph the equation \( y = 9 - 4x \)?
2. What is the solution for \( x \) in equation 3 if \( y = 0 \)?
3. How would you solve a system of equations using substitution with equation 4 and another?
4. Can you solve \( 7x + 1 = 9 + 4y \) using the elimination method?
5. What are the intercepts of the line \( -3x - y = 12 \)?

**Tip:** When solving a system of equations, substitution and elimination are powerful techniques to find the solution efficiently.

Solve the following system of equations:
1. x - 5x = 9
2. 8x + 2y = 18
3. 7x + 1 = 9 + 4y
4. -3x - y = 12
5. 5 = -(x - 3)

Learn how to solve a system of linear equations involving algebraic manipulation of equations like x - 5x = 9 and 8x + 2y = 18. This problem covers key concepts of solving for x and y using algebraic formulas. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation