Question

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

Answer 1

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

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)