Determine if each ordered pair is a solution to the given system.
4 x minus 5 y equals 8
4 x plus 3 y equals 40
a. left parenthesis 7 comma 4 right parenthesis
b. left parenthesis negative 3 comma negative 4 right parenthesis
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Part 1
a. Is the ordered pair left parenthesis 7 comma 4 right parenthesis a solution to the given​ system?
Yes
No

To determine if \((7, 4)\) is a solution to the system, we substitute \(x = 7\) and \(y = 4\) into both equations and see if both hold true.

The system is:
1. \(4x - 5y = 8\)
2. \(4x + 3y = 40\)

### Substituting \((7, 4)\) into the first equation:
\[
4(7) - 5(4) = 28 - 20 = 8
\]
This is true for the first equation.

### Substituting \((7, 4)\) into the second equation:
\[
4(7) + 3(4) = 28 + 12 = 40
\]
This is also true for the second equation.

Since both equations are satisfied, **the ordered pair \((7, 4)\) is a solution to the system**.

**Answer:** Yes

Determine if each ordered pair is a solution to the given system.
4x - 5y = 8
4x + 3y = 40
a. (7, 4)
b. (-3, -4)
Is the ordered pair (7, 4) a solution to the given system? Yes or No.

Explore how to determine if the ordered pair (7, 4) satisfies the system of equations 4x - 5y = 8 and 4x + 3y = 40. This step-by-step guide shows the substitution method to verify solutions for systems of linear equations, ideal for students in Grades 8-10.

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