The standard form of a linear equation is represented as: [tex]\mathbf{Ax + By =C}[/tex]
The equation in standard form is [tex]\mathbf{2x - 5y = 15}[/tex]
The equation is given as:
[tex]\mathbf{y = \frac 25x - 3}[/tex]
Multiply through by 5
[tex]\mathbf{5 \times y = 5 \times \frac 25x -5 \times 3}[/tex]
Simplify
[tex]\mathbf{5y = 2x -15}[/tex]
Add 15 to both sides of the equations
[tex]\mathbf{5y + 15= 2x -15 + 15}[/tex]
Simplify
[tex]\mathbf{5y + 15= 2x}[/tex]
Subtract 5y from both sides of the equation
[tex]\mathbf{5y -5y+ 15= 2x - 5y}[/tex]
Simplify
[tex]\mathbf{15= 2x - 5y}[/tex]
Rewrite as:
[tex]\mathbf{2x - 5y = 15}[/tex]
Hence, the standard form of the equation is [tex]\mathbf{2x - 5y = 15}[/tex]
Read more about standard forms at:
https://brainly.com/question/25365483
