Answer:
x= [tex]-\frac{1}{2}[/tex], y = -5
Step-by-step explanation:
Given:
Equation 1: [tex]2x-y=4[/tex]
Equation 2:[tex]8x+y= -9[/tex]
Adding Equation 1 and 2 we get
[tex](2x-y=4)+(8x+y=-9)\\[/tex]
[tex]10x=-5[/tex]
[tex]x= -\frac{5}{10}=-\frac{1}{2}[/tex]
Now Substituting value of x= [tex]\frac{1}{2}[/tex] in Equation 1 we get
[tex]-\frac{2}{2}-y = 4 \\-1-y=4\\-y=5\\y=-5[/tex]