Solve the system of equations

Question

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

Answer 1

We can solve this system of equations using the elimination method.

First, let's multiply the first equation by 4 to get:

-4x + 24y = 52

Now, let's add this equation to the second equation:

(-4x + 24y) + (4x - 10y) = 52 + (-10)

The x terms cancel out, leaving us with:

14y = 42

Dividing both sides by 14, we get:

y = 3

Now, we can substitute this value of y back into one of the original equations to find the value of x. Let's use the first equation:

-x + 6(3) = 13

Simplifying, we get:

-x + 18 = 13

Subtracting 18 from both sides, we get:

-x = -5

Dividing both sides by -1, we get:

x = 5

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