Question 632857
Try to solve it and see
:
2x - 4y = 5
3x + 2y = 6
multiply the 2nd equation by 2 and add to the 1st solution
2x - 4y = 5
6x + 4y = 12
----------------Addition eliminates y, find x
8x = 17
x = 17/8
x = 2.125
use the 2nd original equation to find y, replace x with 2.125
3(2.125) + 2y = 6
6.375 + 2y = 6
2y = 6 - 6.375
2y = -.375
2y = -.375/2
y = -.1875
:
:
Confirm our solutions of x=2.125 and y=-.1875 using the 1st equation
2(2.125) - 4(-.1875) =
4.25 + .75 = 5
:'
We can say this system of equations has only one solution