Question

6х + у = 10 6х - 3у= -26

Answer 1

6x + y = 10     /*3
6x - 3y = - 26   

18x + 3y = 30
6x - 3y = - 26
-------------------- + 
24x = 4
x = 4/24
x = 1/6

y = 10 - 6*1/6 = 10 - 1 = 9 

ОТВЕТ
(1/6 ; 9)

Answer 2

To solve the system of equations:

1. 6x + y = 10
2. 6x - 3y = -26

We can use the method of substitution or elimination. Let's use the substitution method:

Step 1: Solve equation (1) for y in terms of x. 6x + y = 10 y = 10 - 6x

Step 2: Substitute the expression for y from Step 1 into equation (2). 6x - 3(10 - 6x) = -26 6x - 30 + 18x = -26 Combine like terms: 24x - 30 = -26

Step 3: Isolate x by moving the constant term to the other side: 24x = -26 + 30 24x = 4

Step 4: Divide both sides by 24 to solve for x: x = 4 / 24 x = 1/6

Now that we have the value of x, we can find y by substituting x back into any of the original equations. Let's use equation (1):

6x + y = 10 6(1/6) + y = 10 1 + y = 10

Now, solve for y:

y = 10 - 1 y = 9

So, the solution to the system of equations is x = 1/6 and y = 9.