Answer: for 5x + 4y = 13 is x=13/5 and y=13/4 and for 2x - 5y = -8 is x=-4 snd y=8/5
The system of equations have value of x = 1 and y = 2.
The system of equation is set of equations which have a common solution.
The system of equation is
5x+4y =13
2x-5y = -8
To solve the system, Substitution method is used
2x = -8 +5y
x = -4 +(5/2)y
Substituting this in equation 1
5 * ( -4 +(5/2)y) + 4y = 13
-20 +(25/2) y +4y = 13
-20 + (33/2)y = 13
(33/2) y = 33
y = 2
x =1
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