Question

1) [x+y = 7, 3x + 2y = 16;​

Answer 1

Я решил сам. Вложение фото.

Answer 2

To solve the system of equations:

1. x + y = 7
2. 3x + 2y = 16

There are multiple methods to solve this system, such as substitution, elimination, or using matrices. Let's solve it using the substitution method.

From equation 1), we can rewrite it as x = 7 - y.

Now substitute this value of x in equation 2):

3(7 - y) + 2y = 16

Expand the equation:

21 - 3y + 2y = 16

Combine like terms:

-y + 21 = 16

Next, isolate the y term by subtracting 21 from both sides:

-y = 16 - 21

Simplify:

-y = -5

To isolate y, multiply both sides by -1:

y = 5

Now substitute the value of y back into equation 1) to solve for x:

x + 5 = 7

Subtract 5 from both sides:

x = 7 - 5

x = 2

Therefore, the solution to the system of equations is x = 2 and y = 5.