Question

5x-3y+8=0 x+12y=11 методом подстановки.​

Answer 1

5x-3y+8=0

x+12y=11

.

5x-3y=-8

x=11-12y

.

5(11-12y)-3y=-8

55-60y-3y=-8

-63y=-8-55

-63y=-63

y=1

.

x+12y=11

x+12×1=11

x+12=11

x=11-12

x=-1

.

(x;y)=(-1;1)

Answer 2

1)х может быть: -1;у: - 1

2)х=-1;у=1

Answer 3

To solve the system of equations using the method of substitution, we'll follow these steps:

Step 1: Solve one of the equations for one variable in terms of the other. Step 2: Substitute the expression found in Step 1 into the other equation. Step 3: Solve the resulting equation for the variable. Step 4: Substitute the value found in Step 3 back into one of the original equations to find the value of the other variable. Step 5: Write the solution as an ordered pair (x, y).

Let's solve the given system of equations:

1. 5x - 3y + 8 = 0 .............. Equation 1
2. x + 12y = 11 ................. Equation 2

Step 1: Solve Equation 2 for x: x = 11 - 12y

Step 2: Substitute the expression (11 - 12y) for x in Equation 1: 5(11 - 12y) - 3y + 8 = 0

Step 3: Solve for y: 55 - 60y - 3y + 8 = 0 -63y + 63 = 0 -63y = -63 y = 1

Step 4: Substitute y = 1 back into Equation 2 to find x: x + 12(1) = 11 x + 12 = 11 x = 11 - 12 x = -1

Step 5: Write the solution as an ordered pair (x, y): The solution to the system of equations is x = -1 and y = 1, or (-1, 1).