Question

Теңдеулер жүйесін қосу тәсілімен шеш: {█(3х-7у-2=0,@4х+7у=19;)┤ {█((2х-5)/2+ (7у+9)/4=2,@(2х+5)/3-(у-7)/6=3.)┤

Answer 1

Ответ:

║3х + 7у - 3 = 0 ,

║7х + 9у - 7 = 0,

из 1 ур-ия:

х = (3-7у)/3,

подставим во 2 ур-ие:

7*(3-7у)/3 + 9у - 7 = 0,

7 - 49/3у + 9у - 7 = 0,

-16 1/3у + 9у = 0,

у = 0,

х = (3-7*0)/3 = 1,

ответ;(1; 0)

Пошаговое объяснение:

Answer 2

Solving the System of Equations:

To solve the given system of equations, we can use the method of substitution or elimination. Let's solve it step by step.

The system of equations is:

1) 3x - 7y - 2 = 0 2) 4x + 7y = 19

We can start by solving equation 2) for x:

4x + 7y = 19

Solving for x, we get:

4x = 19 - 7y x = (19 - 7y) / 4

Now, we substitute this value of x into equation 1):

3((19 - 7y) / 4) - 7y - 2 = 0

Simplifying this equation will give us the value of y. Let's solve it step by step:

1) Distribute 3 to the terms inside the parentheses:

(57 - 21y) / 4 - 7y - 2 = 0

2) Multiply through by 4 to eliminate the fraction:

57 - 21y - 28y - 8 = 0

3) Combine like terms:

-49y + 49 = 0

4) Add 49y to both sides:

49 = 49y

5) Divide both sides by 49:

y = 1

Now that we have the value of y, we can substitute it back into equation 2) to find the value of x:

4x + 7(1) = 19 4x + 7 = 19 4x = 19 - 7 4x = 12 x = 12 / 4 x = 3

Therefore, the solution to the given system of equations is x = 3 and y = 1.

Note: The solution provided above is based on the given system of equations. Please double-check the equations and the solution to ensure accuracy.