Question

Решите систему уравнений методом подстановки: 6x+y=−32 5x+8y=2

Answer 1

6x+y=-32
5x+8y=2
y=-32-6x
5x+8×(-32-6x)=2
5x-256-48x=2
-43x=2+256
43x=-258
x=-6
6×(-6)+y=-32
-36+y=-32
y=-32+36
y=4

Answer 2

У=-32-6х
5х+8(-32-6х)=2

1. 5х-256-48х=2
-43х=258
х=-6

2.у=-32-6(-6)
у=-32+36
у=4

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 remaining variable. Step 4: Use the value found in Step 3 to determine the value of the other variable.

Let's start:

Step 1: Solve the first equation for y in terms of x. 6x + y = -32 y = -32 - 6x

Step 2: Substitute the expression (-32 - 6x) for y in the second equation. 5x + 8(-32 - 6x) = 2

Step 3: Solve for x: 5x - 256 - 48x = 2 -43x - 256 = 2 -43x = 2 + 256 -43x = 258 x = 258 / (-43) x = -6

Step 4: Now that we have the value of x, we can find y by substituting it back into the first equation: y = -32 - 6(-6) y = -32 + 36 y = 4

So, the solution to the system of equations is x = -6 and y = 4.