Question

Решите пример по математике пожайлуста за 6 класс!!! {3x+5y=16 {2x+3y=9

Answer 1

{3x+5y=16
{2x+3y=9
________
{х+2у=7
{2х+3у=9
_______
{х=7-2у
{ 2(7-2у)+3у=9(*)                *14-4у+3у=9; -у=-5; у=5
____________
{у=5
{х=7-2*5
__________-
{y=5
{x=-3
ОТВЕТ: (-3;5)

Answer 2

Solving the Math Problem for 6th Grade

To solve the system of equations {3x+5y=16, 2x+3y=9}, we can use the substitution method or the elimination method. Let's use the elimination method to solve this system of equations.

First, we'll multiply the second equation by 5 and the first equation by 3 to make the coefficients of x in both equations equal and then subtract the second equation from the first equation to eliminate x.

Multiplying the second equation by 5: 5 * (2x + 3y = 9) -> 10x + 15y = 45

Multiplying the first equation by 3: 3 * (3x + 5y = 16) -> 9x + 15y = 48

Subtracting the second equation from the first equation: (9x + 15y) - (10x + 15y) = 48 - 45 -x = 3 x = -3

Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the second equation {2x + 3y = 9}.

Substituting x = -3 into the second equation: 2(-3) + 3y = 9 -6 + 3y = 9 3y = 15 y = 5

So, the solution to the system of equations {3x+5y=16, 2x+3y=9} is x = -3 and y = 5.

This solution satisfies both equations: 3*(-3) + 5*5 = 16 -9 + 25 = 16 16 = 16

2*(-3) + 3*5 = 9 -6 + 15 = 9 9 = 9

The solution is verified to be correct.