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3. to combine the equations and solve for one of the variables, you need to eliminate the other variable. how can you change one equation so that one variable is eliminated when the two equations are added? explain and write the new equation (the equations are 12x+6y=120 and 4x+y=30)
4. combine the two equations to eliminate one of the variables, and then solve for the other.
5. solve for the other variable.
6. prove that your solutions are correct by substituting the values back into the original equations and verifying the answers.

For this case we have the following system of equations:

We must solve the system by the method of elimination. To do this we multiply the second equation by -3, then:

We add both equations:

We find the value of "x":

Thus, the solution of the system is:

We verify:

Is fulfilled!

Is fulfilled!

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: