Question

What is the solution to?

7x – 2y = 18

—4x + 3y = –14


• (-2, 2)
• (1, 6)
• (4, 5)
• (2, - 2)

Answer 1

2,-2 because X =2 and y=-2 so therefore 2,-2

Answer 2

(2, -2)

Explanation:

Solve 7x - 2y = 18 for x:

• 
  `7x - 2y = 18`
• 
  `7x - 2y + 2y = 18 + 2y` (Add 2y to both sides)
• 
  `7x = 2y + 18`
• 
  `(7x)/(7) = (2y+18)/(7)` (Divide both sides by 7)
• 
  `x = (2)/(7)y+(18)/(7)`

Substitute 2/7y+ 18/7 for x in -4x + 3y = -14

• 
  `-4x + 3y = -14`
• 
  `-4((2)/(7)y+(18)/(7))+3y=-14`
• 
  `(13)/(7)y-(72)/(7)=-14` (Simplify both sides of the equation)
• 
  `(13)/(7)y-(72)/(7)+(72)/(7) =-14+ (72)/(7)` (Add 72/7 to both sides)
• 
  `(13)/(7)y=(-26)/(7)`
• 
  `(13)/(7)y*(7)/(13)=(-26)/(7) * (7)/(13)`
• 
  `y = -2`

Substitute -2 for y in x = 2/7y + 18/7

• 
  `x = (2)/(7)y + (18)/(7)`
• 
  `x = (2)/(7)(-2) + (18)/(7)`
• 
  `x = 2` (Simplify both sides of the equation)

Given that x = 2 and y = -2, the point is: (2, -2)

Therefore, the solution is (2, -2).