Question

Solve the system of equations.
-4x+11y=15
x=2y

Answer 1

Explanation:

To solve this system of equations, we can start by substituting the second equation into the first equation, to eliminate one of the variables.

Substituting x = 2y into the first equation gives us:

-4(2y) + 11y = 15

Simplifying this equation gives us:

-8y + 11y = 15

Combining like terms, we get:

3y = 15

Dividing both sides by 3, we get:

y = 5

Substituting this value back into the second equation gives us:

x = 2(5)

Simplifying this equation gives us:

x = 10

So the solution to the system of equations is x = 10 and y = 5.