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solve that by first isolating x in the first eqaution

The solution for \( x \) from the first equation is:

\[
x = \frac{4y}{7} - \frac{9}{7}
\]

Would you like me to proceed with solving the second equation or provide more details about this step?

Here are some follow-up questions you might explore:
1. How can this expression for \( x \) be substituted into the second equation?
2. What are the next steps after substituting \( x \) in the second equation?
3. What happens if \( y \) is isolated in the second equation?
4. Can this system of equations be solved using matrices?
5. How can we interpret the result geometrically?

**Tip:** Always double-check your algebraic manipulation to avoid errors, especially when working with fractions.

Solve the system of equations: 
( (x + 1) / 2 ) - ( (2y + 6) / 7 ) = -1 
( y + 2 ) - ( 2 / 5 ) (5x + 10) = (4(x + 1)) / 5

Learn how to solve a system of linear equations step-by-step. This problem involves algebraic manipulation and substitution to solve for x and y. Suitable for students in Grades 9-12, the solution highlights key algebraic concepts such as solving linear systems.

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