Question

PLEASE HELP ME!!!

Find the missing values of x and Y from the following equal ordered pairs.
a) (2x + y, 2) = (1, x - y)
b) (x+2y,3)=(-1,2x-y)​

Answer 1

`1)(2x + y \: \: \: 2) = (1 \: \: x - y) \\ so \: compare \: 2x + y = 1...(1) \\ 2 = x - y....(2) \\ 2x + y = 1...(1) \\ x - y = 2....(2) \\ (1) + (2) \\ 3x + 0y = 3 \\ x = (3)/(3) = 1 ....(3)\\ \\ put \: (3)in \: (1) \\ 2 * 1 + y = 1 \\ y = 1 - 2 \\ y = - 1 \\ here \: x = 1 \\ y = - 1 \\ 2)(x + 2y \: \: \: 3) \: and \: ( - 1 \: \: \: 2x - y) \\ here \: x + 2y = - 1...(1) \\ 2x - y = 3...(2) \\ (2) * 2 = > 4x - 2y = 6...(3) \\ x + 2y = - 1....(1) \\ (1) + (3) \\ 5x + 0y = 5 \\ x = (5)/(5) = 1....(3) \\ put \: (3) \: in \: (1) \\ 1 + 2y = - 1 \\ 2y = - 2 \\ y = ( - 2)/(2) = - 1 \\ here \: x = 1 \\ and \: \\ y = - 1 \\ thank \: you`

Answer 2

• a) (1, -1)
• b) (1, -1)

Explanation:

a)

Compare the coordinates:

• 2x + y = 1
• x - y = 2

Add up the equations to eliminate y:

• 2x + y + x - y = 1 + 2
• 3x = 3
• x = 1

Find y:

• y = 1 - 2 = -1

b)

Compare the coordinates:

• x + 2y = -1
• 2x - y = 3

Double the second equation and add to the first one:

• x + 2y + 4x - 2y = -1 + 6
• 5x = 5
• x = 1

Find y:

• y = 2*1 - 3
• y = -1