Question

-x+6y=13

4x-10y=-10

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this system of equations, we can use the method of substitution or elimination.

Let's use the elimination method:

From the first equation, let's solve for x:

-x + 6y = 13
x = 6y + 13

Now, substitute this value of x into the second equation:

4(6y + 13) - 10y = -10
24y + 52 - 10y = -10
14y + 52 = -10
14y = -62
y = -62 / 14
y = -31/7

Now that we have the value of y, we can substitute it back into the equation x = 6y + 13:

x = 6(-31/7) + 13
x = -186/7 + 13
x = -186/7 + 91/7
x = -95/7

Therefore, the solution to the system of equations is x = -95/7 and y = -31/7.