Question

1. convert $y + 5 = 3x$ into standard form.

a. $x + 3y = 5$

b. $x - 3y = -5$

c. $3x + y = 5$

d. $3x - y = 5

Explanation:

Step1: Recall standard form

Standard form is \(Ax + By = C\) (A,B,C integers, A≥0).

Step2: Rearrange given equation

Start with \(y + 5 = 3x\). Subtract \(y\) from both sides: \(5 = 3x - y\). Swap sides: \(3x - y = 5\).

Step3: Match with options

The result matches option d.

Answer:

d. \(3x - y = 5\)