Question

А) x+y=17; б) x-2y=5

Answer 1

Ответ:

а)у=17-х

б)2у=5+х.....

Answer 2

To solve the system of equations: A) x + y = 17 B) x - 2y = 5

There are multiple methods to solve this system of equations, such as substitution or elimination. I will demonstrate the elimination method:

First, let's multiply equation B by 2 to eliminate the variable x:

2 * (x - 2y) = 2 * 5 2x - 4y = 10

Now we have two equations:

A) x + y = 17 2x - 4y = 10

Next, we can multiply equation A by 2 to make the coefficients of x in both equations the same:

2 * (x + y) = 2 * 17 2x + 2y = 34

Now we have:

2x + 2y = 34 2x - 4y = 10

We can subtract the second equation from the first equation to eliminate the variable x:

(2x + 2y) - (2x - 4y) = 34 - 10 2x + 2y - 2x + 4y = 24 6y = 24

Dividing both sides of the equation by 6, we get:

y = 24 / 6 y = 4

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

x + y = 17 x + 4 = 17

Subtracting 4 from both sides:

x = 17 - 4 x = 13

So the solution to the system of equations is x = 13 and y = 4.