Question

Write two equations in standard form that are equivalent to x + 3y = 5

Answer 1

1) 2x + 6y = 10

2) 4x + 12y = 20

Explanation:

x + 3y = 5

Every scalar multiple of this equation will be its equivalent

1) 2x + 6y = 10

2) 4x + 12y = 20

Answer 2

2x+6y = 10

3x+9y = 15

Explanation:

We can multiply the equation by 2

2( x + 3y )= 5*2

2x+6y = 10

Or we can multiply by 3

3( x + 3y) = 5*3

3x+9y = 15

Multiplying each side by the same number gives us an equivalent equation

Standard form is

Ax +By = C

Which the equation is already written in