Asked by giggly puffs on May 18, 2024
Verified
Solve for x and y:
x + y = 40
-x + y = -20
A) x = 30; y = 10
B) x = - 10; y = 30
C) x = - 30; y = - 10
D) x = - 60; y = 20
E) x = - 60; y = - 20
System of Equations
A set of two or more equations with the same set of unknowns, which are solved simultaneously.
Variable Substitution
Replacing a variable in an equation or expression with its corresponding value.
- Use algebraic procedures to unravel linear equations in either one or two variables.
Verified Answer
DSS
Daryl ßoodhooMay 22, 2024
Final Answer :
A
Explanation :
Adding the two equations: (x + y) + (-x + y) = 40 - 20, simplifies to 2y = 20, so y = 10. Substituting y = 10 into the first equation: x + 10 = 40, gives x = 30.
Learning Objectives
- Use algebraic procedures to unravel linear equations in either one or two variables.