Solve using elimination.x − y = 13–7x − 9y = 5

Sure, let's solve the system of equations step by step using the elimination method.

The system of equations is:

1. x - y = 13
2. -7x - 9y = 5

First, we can multiply the first equation by 7 and the second equation by 1 to make the coefficients of x the same in both equations:

7*(x - y) = 713 1(-7x - 9y) = 1*5

This gives us:

7x - 7y = 91 -7x - 9y = 5

Now, we can add these two equations together:

(7x - 7y) + (-7x - 9y) = 91 + 5

This simplifies to:

-16y = 96

Finally, we can solve for y by dividing both sides by -16:

y = 96 / -16 y = -6

Now that we have y, we can substitute it into the first equation to solve for x:

x - (-6) = 13 x + 6 = 13 x = 13 - 6 x = 7

So, the solution to the system of equations is x = 7, y = -6.

Sure, here are the steps to solve the system of equations using elimination:

1. First, let's write down the system of equations:

   x - y = 13 -7x - 9y = 5

2. The goal of elimination is to add or subtract the equations in order to eliminate one of the variables. In this case, it would be easier to eliminate x. To do this, we can multiply the first equation by 7 and the second equation by 1:

   7x - 7y = 91 -7x - 9y = 5

3. Now, add the two equations together:

   7x - 7x - 7y - 9y = 91 + 5 -16y = 96

4. Solve for y by dividing both sides by -16:

   y = 96 / -16 y = -6

5. Now that we have y, we can substitute it into the first equation to solve for x:

   x - (-6) = 13 x + 6 = 13 x = 13 - 6 x = 7

So, the solution to the system of equations is x = 7 and y = -6.