Question

Can i get some help with math plz

Answer 1

D) (1,8)

Explanation:

1. Solve 5x + y = 13 for y.

• 
  `5x + y = 13`
• 
  `5x + y - 5x = 13 - 5x`
• 
  `y = -5x + 13`

2. Substitute -5x + 13 for y in 10x - 3y = -14.

• 
  `10x-3y=-14`
• 
  `10x-3(-5x+13)=-14`
• 
  `25x-39=-14`
• 
  `25x - 39 + 39 = -14 + 39`
• 
  `25x = 25`
• 
  `(25x)/(25) = (25)/(25)`
• 
  `x = 1`

3. Alright, we now have our x-coordinate, so the point looks like this so far: (1,y).

4. Substitute 1 for x in y = -5x + 13

• 
  `y = -5x + 13`
• 
  `y=-5(1)+13`
• 
  `y = -5 + 13`
• 
  `y = 8`

5. Okay, we have our x-coordinate and y-coordinate, so the point will look like this: (1,8).

Therefore, the intersection of the two lines is at (1,8).