Question

X + 2y = 8,3x - 2y = 8​

Answer 1

Якщо розв’язувати за допомогою системи

Answer 2

You have a system of two linear equations:

1. $x + 2y = 8$
2. $3x - 2y = 8$

You can solve this system of equations using the method of your choice, such as substitution, elimination, or graphing. Here, I'll use the elimination method.

First, add the two equations together to eliminate the $y$ variable:

$(x + 2y) + (3x - 2y) = 8 + 8$

This simplifies to:

$4x = 16$

Now, divide both sides of the equation by 4 to solve for (x):

$4x/4 = 16/4$

$x = 4$

Now that you have found $x$, you can substitute this value back into one of the original equations to solve for $y$. Let's use the first equation:

$x + 2y = 8$

$4 + 2y = 8$

Subtract 4 from both sides:

$2y = 8 - 4$

$2y = 4$

Now, divide both sides by 2 to solve for (y):

$2y/2 = 4/2$

$y = 2$

So, the solution to the system of equations is $x = 4$ and $y = 2$.