Find the values of x and y for the following 3x 2y 5 2 2x

Find the values of x and y for the following. [3x - 2y 5 -2 2x + y] = [4 5 -2 5] Select the correct choice below and, if necessary, fill in the answer box to comp x =, y =

Solution

equate the corresponding elements on both sides:

3x -2y =4

2x+y =5

Multiply 2nd equation by 2: 4x +2y =10

Now add the two equations:

7x = 14

x= 2

Substitute to get y : y = 5-2x = 5- 2*2 = 1

So, Solution A: x = 2 ; y =1