Question

X + 2y = 6, x - y = 9.​

Answer 1

Ответ на фотографии…

Answer 2

To solve this system of equations for $x$ and $y$, you can use the method of substitution or elimination. Let's use the elimination method:

Given the system of equations:

1. $x + 2y = 6$
2. $x - y = 9$

First, we can multiply equation (2) by 2 to make the coefficients of $y$ in both equations equal:

2.1. $2(x - y) = 2(9)$ => $2x - 2y = 18$

Now, we have a system of equations with the same coefficient for $y$, which makes it easier to eliminate $y$:

1. $x + 2y = 6$
2. $2x - 2y = 18$

Now, add equation (1) and equation (2) together to eliminate $y$:

$(x + 2y) + (2x - 2y) = 6 + 18$

Simplify:

$x + 2x = 24$

Combine like terms:

$3x = 24$

Now, divide both sides by 3 to solve for $x$:

$x = 24 / 3$

$x = 8$

Now that we have found $x$, we can substitute it back into equation (2) to solve for $y$:

$8 - y = 9$

Subtract 8 from both sides:

$-y = 9 - 8$

$-y = 1$

Now, multiply both sides by -1 to solve for $y$:

$y = -1$

So, the solution to the system of equations is $x = 8$ and $y = -1$.