Question

Решить систему x+y=31y-x=3♡♡♡♡♡

Answer 1

X=31-y
y-x=3
y-(31-y)=3
y=17
x=31-17
x=14
(x,y)=17;14

Answer 2

To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution to find the values of x and y.

Given the system of equations:

1. x + y = 31
2. y - x = 3

Step 1: Solve one of the equations for one variable in terms of the other variable. Let's solve equation (2) for y in terms of x: y = x + 3

Step 2: Substitute the expression for y from Step 1 into the other equation (equation 1): x + (x + 3) = 31

Step 3: Simplify and solve for x: 2x + 3 = 31 2x = 31 - 3 2x = 28 x = 28 / 2 x = 14

Step 4: Now that we have the value of x, substitute it back into equation (2) to find y: y = 14 + 3 y = 17

So the solution to the system of equations is x = 14 and y = 17.