Question

Determine the best method to solve the system of equations:

Jy = ju - 2
ly = 5x + 1
How would you justify your decision for the method to solve this system of equations?
A) Substitution method
B) Graphical method
C) Elimination method
D) Matrix method

Answer 1

The best method to solve the given system of equations is the Substitution method.

Step-by-step explanation:

The best method to solve the given system of equations is the Substitution method. To justify this decision, we need to consider the nature of the equations. In the given system, one equation is already solved for 'y', which makes it easier to substitute that expression for 'y' in the other equation. By substituting the value of 'y', we can solve for 'x'.

Using the Substitution method:

Step 1: Start with the equation Jy = ju - 2ly.

Step 2: Substitute the expression for 'y' in terms of 'x' from the second equation, which is ly = 5x + 1.

Step 3: Simplify and solve for 'x'.

Step 4: Substitute the value of 'x' back into any of the original equations to find 'y'.