Question

1) [5x + y = 20,12x - y = 1;​

Answer 1

Ответ:

Пошаговое объяснение:

1){5x+y=20

{12x-y=1

2){y=20-5x

{12x-y=1

12x-(20-5x)=1

X=21/17

y=20-5*21/17

Y=235/17

(x;y)=(21/17;235/17)

Answer 2

It looks like you've provided a system of two linear equations with two variables:

1. $5x + y = 20$
2. $12x - y = 1$

To solve for $x$ and $y$, you can use various methods such as substitution, elimination, or matrix operations. Here, I'll show you how to solve it using the elimination method:

Adding the two equations together will eliminate the $y$ variable:

Adding equation (1) and equation (2):

$(5x + y) + (12x - y) = 20 + 1$

Simplifying the equation:

$17x = 21$

Now, solve for $x$:

$x = \frac{21}{17}$

Now that you have $x$, you can substitute it into either of the original equations to solve for $y$. Let's use equation (1):

$5x + y = 20$ $5 \left(\frac{21}{17}\right) + y = 20$

Solving for $y$:

$y = 20 - \frac{105}{17}$ $y = \frac{340}{17} - \frac{105}{17}$ $y = \frac{235}{17}$

So, the solution to the system of equations is:

$x = \frac{21}{17}$ and $y = \frac{235}{17}$.