Question

1. -y - 10 = 6x

5x + y = -10

Explanation:

Step1: Rewrite the equations

We have two equations:

1. \(-y - 10 = 6x\) can be rewritten as \(6x + y=- 10\) (by adding \(y\) and \(10\) to both sides and rearranging).
2. \(5x + y=-10\) (the second equation remains as is).

Step2: Subtract the second equation from the first

Subtract \(5x + y=-10\) from \(6x + y=-10\):

$$
LATEXBLOCK0
$$

Step3: Substitute \(x = 0\) into one of the equations

Substitute \(x = 0\) into \(5x + y=-10\):

$$
LATEXBLOCK1
$$

Answer:

The solution to the system of equations is \(x = 0\) and \(y=-10\).