Answer:
[tex]x = 1[/tex]
[tex]y = -2[/tex]
Step-by-step explanation:
Given
[tex]2x - 3y = 8[/tex]
[tex]4x + 3y =-2[/tex]
Required
x and y
Add both equations to eliminate y
[tex]2x + 4x - 3y + 3y = 8 - 2[/tex]
[tex]6x = 6[/tex]
Divide both sides by 6
[tex]x = 1[/tex]
Substitute [tex]x = 1[/tex] in the first equation
[tex]2x - 3y = 8[/tex]
[tex]2 * 1 - 3y = 8[/tex]
[tex]2 - 3y = 8[/tex]
[tex]-3y = 8 - 2[/tex]
[tex]-3y = 6[/tex]
Divide by -3
[tex]y = -2[/tex]
