Question

Solve
2x-1=3y
5(2x-1)+y=32

Answer 1

x = 7/2 (3 1/2), y = 2

Explanation:

• 
  `2x - 1 = 3y`
• 
  `10x + y -5=32`

Step 1: Solve 10x + y - 5 for y.

• 
  `10x+y-5-10x=32-10x` (subtract 10x from both sides)
• 
  `y - 5 = -10x + 32`

• 
  `y-5+5=-10x+32+5` (add 5 to both sides)
• 
  `y = -10x + 37`

Step 2: Substitute -10x + 37 for y in 2x - 1 = 3y.

• 
  `2x-1=3(-10x+37)`
• 
  `2x - 1 = -30x + 111` (simplify both sides)
• 
  `2x-1+30x=-30x+111+30x` (add 30x to both sides)
• 
  `32x-1=111`
• 
  `32x-1+1=111+1` (add 1 to both sides)
• 
  `32x = 112`
• 
  `32x/32 = 112/32` (divide both sides by 32)
• 
  `x = 7/2`

Step 3: Substitute 7/2 for x in y = -10x +37.

• 
  `y=-10(7/2) +37`
• 
  `y = -35 + 37` (simplify both sides)
• 
  `y = 2` (simplify both sides

Have a lovely rest of your day/night, and good luck with your assignments! ♡

~ ren

Answer 2

2x-1=3y would be 1/-3
For 5 (2x-1)+y=32 would be 37/10, if its wrong, forgive me