*y*=

7*x*−20

y, equals, 2, x

*y*=

2*x*

You've given two equations for \( y \):

1. \( y = 7x - 20 \)
2. \( y = 2x \)

To find a solution, let's set the two expressions for \( y \) equal to each other:

\[
7x - 20 = 2x
\]

### Solving for \( x \):

1. Subtract \( 2x \) from both sides:
   \[
   7x - 2x = 20
   \]
   \[
   5x = 20
   \]

2. Divide both sides by 5:
   \[
   x = \frac{20}{5} = 4
   \]

### Now, find \( y \):
Substitute \( x = 4 \) into either of the original equations (let's use \( y = 2x \)):

\[
y = 2(4) = 8
\]

### Final solution:
\[
x = 4, \quad y = 8
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do we solve for \( x \) when the equation has more variables?
2. Can we substitute \( y = 8 \) in both equations to check consistency?
3. How do we handle equations where the variable terms are on both sides?
4. What happens if the equations are nonlinear?
5. How can graphing these equations help visualize the solution?

**Tip:** Always simplify the equation as much as possible before solving for unknowns.

This page provides a detailed step-by-step solution for solving the system of linear equations y = 7x - 20 and y = 2x. Learn how to use substitution to find the value of x and y. Suitable for students in Grades 6-8 learning about algebra and systems of equations.

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