Question

Х-у=17 х+у=13 оооооо

Answer 1

Ответ:

(15;  -2)

Пошаговое объяснение:

х - у = 17,

х + у = 13,

из 1 ур-ия:

х = 17 + у,

подставим во 1 ур-ие:

17 + у + у = 13,

2у = 13 - 17,

2у = -4,

у = -2,

х = 17 + (-2) = 17 - 2 = 15

Answer 2

To solve the system of equations:

1. Х - у = 17
2. х + у = 13

You can use either the substitution method or the elimination method. I'll show you both methods:

Substitution Method:

Step 1: Solve one of the equations for one variable in terms of the other variable. Let's solve equation (2) for х: х = 13 - у

Step 2: Substitute this value of х into the other equation (1): Х - у = 17 (13 - у) - у = 17

Step 3: Simplify and solve for у: 13 - 2у = 17 -2у = 17 - 13 -2у = 4 у = 4 / (-2) у = -2

Step 4: Now that we have the value of у, substitute it back into either equation to find the value of х: х = 13 - у х = 13 - (-2) х = 15

So the solution to the system of equations is х = 15 and у = -2.

Elimination Method:

Step 1: Add the two equations together to eliminate one variable: (Х - у) + (х + у) = 17 + 13

Step 2: Simplify and solve for х: 2х = 30 х = 30 / 2 х = 15

Step 3: Now that we have the value of х, substitute it back into either equation (let's use equation (2)): х + у = 13 15 + у = 13

Step 4: Solve for у: у = 13 - 15 у = -2

So, once again, the solution to the system of equations is х = 15 and у = -2.