Question

{ 3x-2y=6 { 6x+2y=30

Answer 1

3x-2y+6x+2y=6+30
-2у и +2у зачёркивем получается
3x+6x=6+30
9x=36
x=4
6*4+2y=30
24+2y=30
2у=-24+30
2у=6
у=3
(4;3)

Answer 2

To solve the system of equations, you can use either the substitution method or the elimination method. I'll demonstrate the elimination method here.

Given the equations:

1. 3x - 2y = 6
2. 6x + 2y = 30

Step 1: Eliminate one variable. To eliminate the variable y, add both equations together:

(3x - 2y) + (6x + 2y) = 6 + 30 9x = 36

Step 2: Solve for x. Divide both sides by 9 to find the value of x:

x = 36 / 9 x = 4

Step 3: Substitute the value of x back into one of the original equations to find y. Let's use Equation 1:

3x - 2y = 6 3(4) - 2y = 6 12 - 2y = 6

Step 4: Solve for y. Subtract 12 from both sides:

-2y = 6 - 12 -2y = -6

Now, divide both sides by -2 to find the value of y:

y = -6 / -2 y = 3

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