Question

Solve the system by any method. (3x – 4y = -5 (5x + 8y = -1

Answer 1

The answer is (-1,1/2)

Answer 2

Answer:

( x , y ) = ( -1,1/2)

Step-by-step explanation:

Solve the equation for X

$\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.$

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

$\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.$

Simplify the equations

$\left \{ {{-5=-5} \atop {-1=-1}} \right.$

The ordered pair is the solution of the system of equations, since both equations are true

(x,y)=(-1,1/2)