Answer:
( x , y ) = ( -1,1/2)
Step-by-step explanation:
Solve the equation for X
[tex]\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.[/tex]
Substitute the given value of x into the equation 5x + 8y = -1
5(-5/3+4/3y)+8y=-1
Solve the equation for Y
y=-1/2
Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y
x=-5/3+4/3×1/2
Solve the equation for X
x=-1
The system solution is the computer pair
(x,y)=(-1,1/2)
Check if the ordered pair given to the solution of the system of equations
[tex]\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.[/tex]
Simplify the equations
[tex]\left \{ {{-5=-5} \atop {-1=-1}} \right.[/tex]
The ordered pair is the solution of the system of equations, since both equations are true
(x,y)=(-1,1/2)
