Question

A system of equations and its solution are given below:

System A
x+y=8
4x−6y=2
Solution: (5, 3)
Choose the correct option that explains what steps were followed to obtain the system of equations below:
System B
x+y=R
4x−6y=10
A) Substitution
B) Elimination
C) Graphical Method
D) Cramer's Rule

Answer 1

The steps followed to obtain System B from System A involve the method of Substitution, which replaces a variable with an expression from another equation in the system.

Step-by-step explanation:

The correct option that explains what steps were followed to obtain the system of equations System B from System A (x+y=8 and 4x-6y=2 to x+y=R and 4x-6y=10) is Substitution. This involves replacing one variable with an expression derived from another equation that contains the same variable, making it possible to solve the system of equations. It is not Elimination, as this method involves adding or subtracting equations to remove a variable, nor is it the Graphical Method, where equations are graphed to find their point of intersection, and it is not Cramer's Rule, which uses determinants to solve a system of linear equations.