solve these 2 equations 
1.263x + 1.64y + 75 = 110.68 
0.5895x - 0.4104y + 5 = 0



We have two linear equations:

1. \( 1.263x + 1.64y + 75 = 110.68 \)
2. \( 0.5895x - 0.4104y + 5 = 0 \)

Let's first simplify both equations by moving the constants to the right-hand side:

1. \( 1.263x + 1.64y = 110.68 - 75 \)
   \[ 1.263x + 1.64y = 35.68 \]

2. \( 0.5895x - 0.4104y = -5 \)

Now, we have the system of equations:

\[
\begin{aligned}
1. & \ 1.263x + 1.64y = 35.68 \\
2. & \ 0.5895x - 0.4104y = -5
\end{aligned}
\]

We can solve this system of equations by substitution or elimination. I'll use the elimination method to solve for \( x \) and \( y \).

Let me solve this.The solution to the system of equations is:

\[
x \approx 4.34, \quad y \approx 18.41
\]

Would you like more details on the solving process or any further clarifications?

Here are 5 related questions to explore further:
1. How can substitution and elimination methods be compared for solving systems of equations?
2. How would graphing these equations visually represent the solution?
3. How can we solve these equations using matrices?
4. What if the system of equations had no solution or infinite solutions?
5. How does rounding affect the precision of the solution in real-world applications?

**Tip:** When solving systems of equations, using exact values (fractions) is preferable over decimals for higher precision.

solve these 2 equations 1.263x + 1.64y + 75 = 110.68 0.5895x - 0.4104y + 5 = 0

Learn how to solve the system of linear equations 1.263x + 1.64y + 75 = 110.68 and 0.5895x - 0.4104y + 5 = 0 using the elimination method. This problem explores key algebraic concepts and is suitable for students in Grades 10-12.

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