Math Problem Statement
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 Question content area bottom Part 1 a. Is the ordered pair left parenthesis 7 comma 4 right parenthesis a solution to the given system? Yes No
Solution
To determine if is a solution to the system, we substitute and into both equations and see if both hold true.
The system is:
Substituting into the first equation:
This is true for the first equation.
Substituting into the second equation:
This is also true for the second equation.
Since both equations are satisfied, the ordered pair is a solution to the system.
Answer: Yes
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Systems of Equations
Formulas
Substitute the values of x and y into the equations to check if they hold true
Equation 1: 4x - 5y = 8
Equation 2: 4x + 3y = 40
Theorems
Substitution method for verifying solutions of a system of linear equations
Suitable Grade Level
Grades 8-10