Question

Ришите систему -3x + x =6. y+2x=4

Answer 1

-2x=6   -3x+x=6
               y+2x=4
x=-3
y-6=4
y=10

Answer 2

To solve the system of equations:

1. -3x + x = 6
2. y + 2x = 4

We can start by simplifying equation 1 and then use substitution or elimination to find the values of x and y.

Step 1: Simplify equation 1 Combine like terms on the left side of equation 1: -3x + x = -2x

So, equation 1 becomes: -2x = 6

Step 2: Solve for x To find the value of x, divide both sides of the equation by -2: -2x / -2 = 6 / -2 x = -3

Step 3: Substitute the value of x into equation 2 Now that we know x = -3, we can substitute this value into equation 2 to find y: y + 2(-3) = 4

Step 4: Solve for y y - 6 = 4

Add 6 to both sides to isolate y: y = 4 + 6 y = 10

Step 5: Check the solution Now, we have x = -3 and y = 10. Let's check if these values satisfy both equations:

1. -3x + x = 6 -3(-3) + (-3) = 9 - 3 = 6 ✔️

2. y + 2x = 4 10 + 2(-3) = 10 - 6 = 4 ✔️

Both equations are satisfied, so the solution is x = -3 and y = 10.