3x-y=3, x+4y=14

Answer 1

This problem can be solved using the substitution method. Solving one equation for one variable and substitute it into the other equation.

Solving the second equation for x by subtracting 4y from both sides of the equation

x+4y-4y=14-4y

Simplify:

x=14-4y

Plug this expression into the first expression for x

3(14-4y)-y=3

Now this is one equation and one variable that can be solved.

Use the distributive property to clear the parenthesis.

3(14)-3(4y)-y=3

Simplify

42-12y-y=3

Combine like terms

42-13y=3

Subtract 42 from both sides of the equation.

42-13y-42=3-42

Simplify:

-13y=-39

Divide both sides of the equation by -13

-13y/-13=-39/-13

y=3

Now you can use one of the original equations to solve for x. Either will work.

x=14-4y

x=14-4(3)

x=14-12

x=2

Bringing these 2 values together, the solution is (2,3)