Question

x+y=104
x-y=36
find x & y

Answer 1

Answer:

$\Large\boxed{Y=34, X=70}$

Step-by-step explanation:

Given:

x+y=104 and x-y=36 (find the x and y.)

$\Large\boxed{\textnormal{LESSON: LINEAR EQUATIONS}}$

To solve this problem, first this question it's about the linear equation. Linear equation is equation that constants and variable of terms of the highest degree 1 percent.

Solutions:

First, you have to solve with substitute.

$\begin{bmatrix}x+y=104\\\ x-y=36\end{bmatrix}$

Secondly, you isolate by the x from one side of the equation.

$\displaystyle x+y=104$

Subtract by y from both sides.

$\displaystyle x+y-y=104-y$

Solve.

$\displaystyle x=104-y$

Solve with (substitute of x=104-y).

$\displaystyle \begin{bmatrix}104-Y-Y=36\end{bmatrix}$

Next, thing you do is isolate by the y from one side of the equation.

$\displaystyle 104-y-y=36$

Add the numbers from left to right.

Add similar elements to the numbers from left to right.

$\displaystyle -y-y=-2y$

$\displaystyle 104-2y=36$

Then, you subtract 104 from both sides.

$\displaystyle 104-2y-104=36-104$

Solve.

$\displaystyle 36-108=-68$

$\displaystyle -2y=-68$

Divide by -2 from both sides.

$\displaystyle \frac{-2y}{-2}= \frac{-68}{-2}$

Solve.

Divide the numbers from left to right.

$\displaystyle -68\div-2=\boxed{34}$

$\Large\boxed{Y=34}$

$\displaystyle x=104-y$

Solve with y=34.

$\displaystyle x=104-34$

Subtract.

$\displaystyle 104-34=\boxed{70}$

$\Large\boxed{X=70}$

$\Large\boxed{Y=34, X=70}$

In conclusion, the correct answer is y=34 and x=70.

Answer 2

Solution:

Given:

=> x + y = 104      ...........(1)

=> x - y = 36        ............(2)

To find:

=> Value of x and y.

By using Substitution method:

x + y = 104

=> x = 104 - y       ............(3)

Put the value of x from eq 3 to eq 2

x - y = 36

=> 104 - y - y = 36

=> 104 - 2y = 36

=> 104 - 36 = 2y

=> 68 = 2y

=> y = 68/2

=> y = 34

Put the value of y in eq (1)

x + y = 104

=> x + 34 = 104

=> x = 104 - 34

=> x = 70