Question

15x + y = 23x - 3y = 23​

Answer 1

Ответ:

15x + y = 23

x-3y = 23

y=23 - 15x

x - 3 (23 - 15x) = 23

x - 69 + 45x = 23

46x = 23 + 69

46x = 92

x = 2

y = 23 - 15 - 2

y = 23 - 30

y = -7

Ответ: (2, -7)

Пошаговое объяснение:

Проверено

Answer 2

The equation you've provided appears to be a system of linear equations with two variables, x and y. To solve this system of equations, you can use the method of substitution or elimination. Let's solve it using the elimination method.

Given equations:

1. 15x + y = 23
2. 23x - 3y = 23

First, let's multiply the first equation by 3 to make the coefficients of y in both equations equal:

1. 3(15x + y) = 3(23)

This gives us:

3(15x) + 3y = 69

Now, the equations are:

1. 45x + 3y = 69
2. 23x - 3y = 23

Now, we can add these two equations together to eliminate the variable y:

(45x + 3y) + (23x - 3y) = 69 + 23

Combine like terms:

45x + 3y + 23x - 3y = 92

(45x + 23x) + (3y - 3y) = 92

68x = 92

Now, divide both sides by 68 to isolate x:

x = 92 / 68

x = 23/17

Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use the first equation:

15x + y = 23

15(23/17) + y = 23

(345/17) + y = 23

Subtract (345/17) from both sides to solve for y:

y = 23 - (345/17)

y = (391 - 345)/17

y = 46/17

So, the solution to the system of equations is:

x = 23/17 y = 46/17