Question

Решите систему:3x-2y=1162x+y=180

Answer 1

2x+y=180
x+2y=180
 
x=180-2y
y=180-2x
подставляем y в x: x=180-2(180-2x)
x=180-360+4x
меняем выражения местами (со знаками) и переносим во 2-ое x:
4x-x=360-180
3x=180
x=60
подставляем x в y:
y= 180-60*2
y=60

Answer 2

Y=180-2x
3x-360+4x=116

y=180-2x
x=476

x=476
y=180-952

x=476
y=-727

Answer 3

To solve the system of equations:

1. 3x - 2y = 116
2. 2x + y = 180

There are various methods to solve this system, but one common approach is the substitution method. Let's proceed with it:

Step 1: Solve one equation for one variable in terms of the other variable. Let's solve Equation 2 for y: 2x + y = 180 Subtract 2x from both sides: y = 180 - 2x

Step 2: Substitute the expression for y from Step 1 into the other equation (Equation 1). 3x - 2y = 116 3x - 2(180 - 2x) = 116 Now, simplify and solve for x:

3x - 360 + 4x = 116 Combine like terms: 7x - 360 = 116 Add 360 to both sides: 7x = 476 Divide both sides by 7: x = 476 / 7 x = 68

Step 3: Now that we have the value of x, we can find the value of y using either of the original equations. Let's use Equation 2: 2x + y = 180 2(68) + y = 180 136 + y = 180 Subtract 136 from both sides: y = 180 - 136 y = 44

So, the solution to the system of equations is: x = 68 y = 44