solve -16x-2y=-18 and 8x+y=9 by elimination

-16x-2y=-18

8x+y=9

Multiply the 2nd by 2 to get

-16x-2y=-18
16x+2y = 18

These are the same line. There are infinitely many solutions. Any point on one line is also on the other, as the lines coincide.

so after that do u add the two problems together?

To solve the system of equations -16x - 2y = -18 and 8x + y = 9 by elimination, follow these steps:

Step 1: Multiply one or both equations by a constant to get the coefficients of either x or y to be equal in absolute value.
The coefficients of x in the two equations are -16 and 8. We can multiply the second equation by 2 to make the coefficient of x in both equations equal to 16.

The new equations become:
-16x - 2y = -18
16x + 2y = 18

Step 2: Add the two equations together to eliminate one variable.
When we add the two equations, the x term cancels out, and we're left with:
0 + 0 = 0

This means that 0 = 0, which is a true statement.

Step 3: Interpret the result.
Since we have obtained a true statement (0 = 0), it means that the original system of equations is dependent and consistent. This means that the two equations represent the same line and have infinitely many solutions.

In this case, any value of x or y that satisfies one equation will also satisfy the other equation. Therefore, there are infinitely many solutions to this system of equations.