Question

7x+2y = 10 3х -5y=-25

Answer 1

Ответ:

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Answer 2

To solve this system of equations, you can use the substitution method or the elimination method. I'll demonstrate the elimination method here:

The system of equations is:

1. $7x + 2y = 10$
2. $3x - 5y = -25$

To eliminate one variable, let's multiply the first equation by 5 and the second equation by 2 so that the coefficients of $y$ in both equations will cancel each other when summed:

1. Multiply the first equation by 5:

   $5(7x + 2y) = 5(10)$
   $35x + 10y = 50$

2. Multiply the second equation by 2:

   $2(3x - 5y) = 2(-25)$
   $6x - 10y = -50$

Now, add the two equations:

$(35x + 10y) + (6x - 10y) = 50 + (-50)$

Combine like terms:

$41x = 0$

Now, solve for $x$:

$x = 0$

Now that we have $x$, substitute it back into one of the original equations. Let's use the first equation:

$7x + 2y = 10$
$7(0) + 2y = 10$
$2y = 10$
$y = 5$

So, the solution to the system of equations is $x = 0$ and $y = 5$.