Question

{-2х+y=13 {-5x+3y=37

Answer 1

Ответ:

х=2 и  у=17

Пошаговое объяснение:

-6x+3y=39            вычесть с 1-го 2 урав. получим

-5x+3y=37

х=2,     тогда у=13+2*2=13+4=17

Answer 2

To solve the system of linear equations:

1. $-2x + y = 13$
2. $-5x + 3y = 37$

We can use the method of substitution or elimination. In this case, let's use the method of substitution.

From equation (1), we can solve for $y$:

$y = 2x + 13$

Now, we'll substitute this expression for $y$ into equation (2):

$-5x + 3(2x + 13) = 37$

Simplify the equation:

$-5x + 6x + 39 = 37$

$x + 39 = 37$

$x = -2$

Now that we have the value of $x$, we can substitute it back into the expression for $y$:

$y = 2(-2) + 13$

$y = 9$

So, the solution to the system of equations is $x = -2$ and $y = 9$.