Question

Convert each equation to standard form show your work

1. y+5=3(x+3)
2. y-3=-2(x+2)
3. y-1=5/3(x-3)​

Answer 1

Explanation:

SOLUTION 1:-

• y + 5 = 3x + 9
• 3x - y -5+9 = 0
• 3x - y +4 = 0

SOLUTION 2 :-

• y - 3 = -2( x + 2)
• y -3 = -3x -4
• 3x + y -3+4=0
• 3x + y -1 = 0

SOLUTION 3 :-

• y - 1 = 5/3x - 5
• 3y - 3 = 5x - 15
• 5x - 3y +3-15=0
• 5x - 3y -12=0

Answer 2

1). 3x-y+4=0

2). -2x-y+1=0

3). 5x-3y-12=0

Explanation:

1. y+5=3(x+3)

y+5=3x+9

subtracting y and 5 from both sides

3x+9-5-y=y+5-5

3x-y+4=0

2.

y-3=-2(x+2)

y-3=-2x-4

subtracting y and adding 3 on both sides

-2x-4-y+3=y-3-y+3

-2x-y+1=0

3.

y-1=5/3(x-3)

multiplying each side by 3

3(y-1)=5(x-3)

3y-3=5x-15

subtracting 3y and adding 3 on both sides

5x-15-3y+3=0

5x-3y-12=0