Can someone explain to me how I can eliminate one of the variables to solve this equation for one of the variables?

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Step-by-step explanation:

hope that helps! (:

x = 1 and y = 4

Step-by-step explanation:

Multiply the top equation by 7 on both sides, and then cancel it out:

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

35x + 7y = 63

Now use this equation to cancel out -7y on the second equation:

35x + 7y = 63

10x - 7y = -18

45x = 45

x = 1

Now that we have our x-value, we can plug it into one of our two original equations:

5(1) + y = 9

y = 4

The cities are actually  190 km apart.

Step-by-step explanation:

Consider the provided information.

It is given that a map scale is 1 cm : 50 km.

We need to find the distance between the two cities if they are 3.8 cm apart.

To find the actual distance between the two cities using the map, multiply each side of the relationship by  3.8

3.8 × 1 cm  : 3.8 × 50 km

3.8 cm : 190 km

The cities are actually  190 km apart.