Question

2x-3y=-8 x+4y=7 Решите систему уравнений. СРОЧНО!!!

Answer 1

2x-3y=-8 2x-3y=-8 2(7-4y)-3y=-8 x=2
x+4y=7 x=7-4y.

x=7-4*2
x=-1
(x,y)=(-1,2)

Answer 2

СИСТЕМА УРАВНЕНИЙ:
{2х – 3у = – 8
{х + 4у = 7

РЕШЕНИЕ:
{2х – 3у = – 8
{х = 7 – 4у

2 • (7 – 4у) – 3у = – 8

у = 2

х = 7 – 4 • 2

х = – 1

(х ; у) = (– 1 ; 2)

{2 • (– 1) – 3 • 2 = – 8
{– 1 + 4 • 2 = 7

{– 8 = – 8
{7 = 7

(х ; у) = (– 1 ; 2)

ОТВЕТ: (х ; у) = (– 1 ; 2)

Answer 3

Solving the System of Equations

To solve the system of equations 2x - 3y = -8 and x + 4y = 7, we can use the method of substitution or elimination. Let's use the method of substitution to find the values of x and y.

First, let's solve the second equation for x: x = 7 - 4y

Now, substitute the value of x into the first equation: 2(7 - 4y) - 3y = -8

Solving for y: 14 - 8y - 3y = -8 14 - 11y = -8 -11y = -8 - 14 -11y = -22 y = -22 / -11 y = 2

Now that we have the value of y, we can find the value of x by substituting y back into the equation: x = 7 - 4(2) x = 7 - 8 x = -1

So, the solution to the system of equations 2x - 3y = -8 and x + 4y = 7 is: x = -1 and y = 2

Conclusion

The solution to the given system of equations is x = -1 and y = 2.