Question

Решите систему 3x+y=17 4x-y=-3

Answer 1

3x+y=17
4x-y=-3

7х=14
х=2

3*2+у=17
у=17+6
у=11

Проверка
3*2+11=17
4*2+11=-3

Answer 2

Solving the System of Equations

To solve the system of equations 3x + y = 17 and 4x - y = -3, we can use the method of substitution or elimination. Let's use the elimination method to solve this system.

To eliminate the variable y, we can add the two equations together. Adding the equations eliminates the y term:

(3x + y) + (4x - y) = 17 + (-3)

Simplifying the equation gives us:

7x = 14

Dividing both sides of the equation by 7, we find:

x = 2

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 substitute x = 2 into the first equation:

3(2) + y = 17

Simplifying the equation gives us:

6 + y = 17

Subtracting 6 from both sides of the equation, we find:

y = 11

Therefore, the solution to the system of equations 3x + y = 17 and 4x - y = -3 is x = 2 and y = 11.

Answer

The solution to the system of equations 3x + y = 17 and 4x - y = -3 is x = 2 and y = 11.