Answer :
Answer:
[tex]x=2[/tex] and [tex]y=-1[/tex]
Step-by-step explanation:
If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.
For the given equations:
[tex]8x-5y=21[/tex] Equation:1
[tex]2x+9y=-5[/tex] Equation:2
Solving equation multiply equation 2 with 4 on both the sides
[tex]8x+36y=-20[/tex] Equation 3
Subtracting Equation:3 from Equation:1
[tex]8x-5y-(8x+36y)=21-(-20)\\8x-5y-8x-36y=21+20\\-41y=41\\y=-1[/tex]
Putting value of 'y' in Equation:2 which will give the value of x
[tex]2x+9y=-5\\2x+9(-1)=-5\\2x-9=-5\\2x=4\\x=2[/tex]