Question

Given the system of equations, what is the solution?

x + 3y = 5
x - 3y = -1

{(-4, -3)}
{(2, 1)}
{(-2, 3)}

Answer 1

Solutions

There are three methods to solve this problem :-

Substitution

Elimination

Matrix

To solve this problem we will use substitution.

Calculations

⇒ Lets solve for the variable x in x+3y=5

→ x+3y = 5

⊄ Subtract 3y from both sides ⊅

→ x = 5−3y

Substitute x=5−3y into x−3y =−1

⇒ Start with the original equation

x−3y=−1

⇒ Let x=5−3y

5−3y−3y=−1

⇒ Simplify

5−6y=−1

Solve for y in 5−6y=−1

y=1

Substitute y=1 into x=5−3y

x=2

Therefore,

x=2

y=1