Question

A)2x-y=2, 3x-y=5; б) x+y=4, x-y=2.

Answer 1

Объяснение:

а)(х,у)=(3,4)

б)(х,у)=(3,1)

Answer 2

It seems like you have a system of linear equations. Let's solve each system of equations:

A) 2x - y = 2 3x - y = 5

We can solve this system of equations using either the substitution method or the elimination method. Here, I'll use the elimination method:

1. Subtract the second equation from the first equation to eliminate y:

   (2x - y) - (3x - y) = 2 - 5 2x - y - 3x + y = -3 -x = -3

2. Now, divide both sides by -1 to solve for x:

   -x / -1 = -3 / -1 x = 3

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

   2x - y = 2 2(3) - y = 2 6 - y = 2

4. Subtract 6 from both sides:

   -y = 2 - 6 -y = -4

5. Divide both sides by -1 to solve for y:

   -y / -1 = -4 / -1 y = 4

So, the solution to the system of equations A) is x = 3 and y = 4.

B) x + y = 4 x - y = 2

We can also solve this system of equations using the elimination method:

1. Add the two equations together to eliminate y:

   (x + y) + (x - y) = 4 + 2 2x = 6

2. Divide both sides by 2 to solve for x:

   2x / 2 = 6 / 2 x = 3

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

   x + y = 4 3 + y = 4

4. Subtract 3 from both sides:

   y = 4 - 3 y = 1

So, the solution to the system of equations B) is x = 3 and y = 1.