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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have