Question

solve.

y=x-8
2x+y=7

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the system of equations:

First, rearrange the first equation to solve for x:
x = y + 8

Substitute this expression for x into the second equation:
2(y + 8) + y = 7

Simplify:
2y + 16 + y = 7
3y + 16 = 7

Subtract 16 from both sides:
3y = -9

Divide both sides by 3:
y = -3

Now substitute the value of y back into the first equation to solve for x:
x = -3 + 8
x = 5

Therefore, the solution to the system of equations is x = 5 and y = -3.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the system of equations:

1. Start by rearranging the first equation to solve for y:
y = x - 8

2. Substitute this expression for y in the second equation:
2x + (x - 8) = 7

3. Simplify the equation by combining like terms:
2x + x - 8 = 7
3x - 8 = 7

4. Add 8 to both sides of the equation to isolate the 3x term:
3x - 8 + 8 = 7 + 8
3x = 15

5. Divide both sides of the equation by 3 to solve for x:
3x/3 = 15/3
x = 5

6. Now substitute the found value of x into the first equation:
y = x - 8
y = 5 - 8
y = -3

7. Therefore, the solution to the system of equations is x = 5 and y = -3.

Answer 3

[AI-generated answer — Explain Bot]

To solve the system of equations:

1. Start with the first equation: y = x - 8.

2. Substitute this expression for y into the second equation: 2x + (x - 8) = 7.

3. Simplify the second equation by combining like terms: 2x + x - 8 = 7.

4. Combine the x terms on the left side of the equation: 3x - 8 = 7.

5. Move the constant term to the right side of the equation by adding 8 to both sides: 3x = 15.

6. Divide both sides of the equation by 3 to isolate x: x = 5.

7. Substitute the value of x back into the first equation to find y: y = 5 - 8.

8. Simplify to find y: y = -3.

Thus, the solution to the system of equations is x = 5 and y = -3.