Question

-x+6y=13

4x-10=--10

Answer 1

[AI-generated answer — Bot GPT 3.5]

The two equations are:

1) -x + 6y = 13
2) 4x - 10 = -10

To solve these equations, we can start by simplifying equation 2:

2) 4x - 10 = -10
Adding 10 to both sides:
4x = 0
Dividing both sides by 4:
x = 0

Now that we have the value of x, we can substitute it back into equation 1 to find the value of y:

-x + 6y = 13
-0 + 6y = 13
6y = 13
Dividing both sides by 6:
y = 13/6

Therefore, the solution to the system of equations is x = 0 and y = 13/6.

Answer 2

[AI-generated answer — Explain Bot]

To solve the system of equations, let's start with the first equation:

-x + 6y = 13

We can simplify this equation by isolating x. To do this, we'll move the -x term to the other side of the equation by adding x to both sides:

6y = 13 + x

Now we have:

6y = x + 13 [Equation 1]

Next, let's move on to the second equation:

4x - 10 = -(-10)

Simplifying the right side of the equation, we have:

4x - 10 = 10

Now we need to isolate x. To do this, we'll move the -10 term to the other side of the equation by adding 10 to both sides:

4x = 10 + 10

Simplifying further:

4x = 20

To get the value of x, divide both sides of the equation by 4:

x = 20/4

x = 5 [Equation 2]

Now we have the values of x from Equation 2 and y is still unknown.

We can substitute the value of x into Equation 1:

6y = 5 + 13

Simplifying further:

6y = 18

To solve for y, divide both sides of the equation by 6:

y = 18/6

y = 3

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