Question

Solve the system of equations: -2x - 4y = -10 and y = 2.

a) (-4, 2)
b) (4, -2)
c) (2, -4)
d) (-2, 4)

Answer 1

The solution to the system of equations -2x - 4y = -10 and y = 2 is x = 1 and y = 2, which corresponds to option a) (-1, 2).

Step-by-step explanation:

To solve the system of equations -2x - 4y = -10 and y = 2, you can substitute the value of y in the first equation and then solve for x. Since y is given as 2, we can plug that into the first equation:

-2x - 4(2) = -10

-2x - 8 = -10

Adding 8 to both sides of the equation gives us:

-2x = -2

Now, divide both sides by -2 to find the value of x:

x = 1

So the solution to the system of equations is x = 1 and y = 2, which is option a) (-1, 2).