Question

18x+8y=55670 15x+4y=45683 x.y-?

Answer 1

18x+8y=55670   I*-0.5

15x+4y=45683

-9х-4у=-27835

15x+4y=45683      сложим

6х=17848

х=2974 4/6=2974 2/3

у=(45683-15х)/4=(45683-44620)/4=265 3/4

(2974 2/3;265 3/4)

Answer 2

To find the value of x.y, we need to solve the system of equations:

1. 18x + 8y = 55670
2. 15x + 4y = 45683

There are various methods to solve this system of equations, but I'll use the substitution method.

Step 1: Solve one of the equations for one variable in terms of the other variable. Let's solve equation 2 for y:

15x + 4y = 45683 4y = 45683 - 15x y = (45683 - 15x) / 4

Step 2: Substitute the value of y from Step 1 into equation 1:

18x + 8((45683 - 15x) / 4) = 55670

Step 3: Solve for x:

18x + 2(45683 - 15x) = 55670 18x + 91366 - 30x = 55670 -12x = 55670 - 91366 -12x = -35696 x = -35696 / -12 x = 2974

Step 4: Now that we have the value of x, we can find the value of y by substituting it back into equation 2:

15x + 4y = 45683 15(2974) + 4y = 45683 44760 + 4y = 45683 4y = 45683 - 44760 4y = 923 y = 923 / 4 y = 230.75

Now, to find x.y, simply multiply x and y:

x.y = 2974 * 230.75 ≈ 686747.5

So, x.y is approximately 686747.5.