5x+8y=6
-9-2y=14
what does x and y equal?

(x,y)= 82/5, -17/2

Step-by-step explanation:

Write as a system of equation

5x + 8y = 14

6 - 9 - 2y = 14

solve the equation for y

6 - 9 - 2y = 14

calculate the difference

-3 - 2y = 14

move constant to the right side and change its sign

-2y = 14 + 3

add the numbers

-2y = 17

divide both sides of the equation by -2

y = -17/2

5x + 8y = 14

y = -17/2

substitute the given value of y into the equation 5x + 8y = 14

5x + 8 x (-17/2) =14

solve the equation for x

multiplying a positive and a negative equals a negative

2x -8 x 17/2 = 14

5x - 4 x 17 = 14

multiply the numbers

5x - 68 = 14

move constant to the right side and change its sign

5x = 14 + 68

Add the numbers

5x = 82

divide both sides of the equation by 5

x = 82/5

the possible solution of the system is the ordered pair (x , y)

(x,y) = (82/5, -17/2)

check if the given ordered pair is the solution of the system of equations

5 x 82/5 + 8x (-17/2) = 6 - 9 - 2x (-17/2) = 14

simplify the expression

14 = 14 = 14

since all of the equalities are true, the ordered pair is the solution of the system

(x, y) = (82/5, -17/2