Solve the system of equations

-x + 6y = 13
4x - 10y = -10

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

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

We will use the elimination method to solve this system of equations.

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

Multiply the first equation by 4 to match the coefficients of x in both equations:
-4x + 24y = 52

Now, we can add this equation to the second equation:
-4x + 24y + 4x - 10y = 52 - 10
14y = 42
y = 42/14
y = 3

Now that we have found the value of y, we can substitute it back into the first equation to find the value of x:
-x + 6(3) = 13
-x + 18 = 13
-x = 13 - 18
-x = -5
x = 5

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

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