Question

5x-3y=-9 x=? y=? x-4y=5

Answer 1

{5x-3y=-9

{x-4y=5 =>{х=5+4у

5(5+4у)-3у=-9

25+20у-3у=-9

17у=-34

у=-2

х=5+4×(-2)=-3

Ответ: х=-3; у=-2

Answer 2

To find the values of x and y, we can solve the given system of equations:

Equation 1: 5x - 3y = -9 Equation 2: x - 4y = 5

We can use the method of substitution to solve this system.

Step 1: Solve Equation 2 for x in terms of y. x - 4y = 5 x = 5 + 4y

Step 2: Substitute the value of x in Equation 1 with 5 + 4y. 5(5 + 4y) - 3y = -9 25 + 20y - 3y = -9 17y + 25 = -9 17y = -9 - 25 17y = -34 y = -34 / 17 y = -2

Step 3: Substitute the value of y back into Equation 2 to find x. x - 4(-2) = 5 x + 8 = 5 x = 5 - 8 x = -3

Therefore, the solution to the system of equations is x = -3 and y = -2.