SOLUTION: Select any two integers between -12 & +12, which will become solutions to a system of two equations. Write two equations that have two integers as solutions. Solve your system of e

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Question 634169: Select any two integers between -12 & +12, which will become solutions to a system of two equations. Write two equations that have two integers as solutions. Solve your system of equations, using the addition and subtraction method, showing all 5 steps.
Answer by solver91311(24713) (Show Source):
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Pick an integer in the range . Set equal to that integer.

Pick an integer in the range . Set equal to that integer.

Then pick four other numbers to use for coefficients, they should be 4 different numbers and you can make some of them positive and some negtive. I think you should pick small integers, but avoid zero. I'm going to call these four numbers for purposes of discussion.

Take the first of the coefficients () and multiply it by the value you chose for . Take and multiply it by the value you chose for . Add the two products and we'll call the sum .

Then write your first equation:

inserting the values for but leaving the variables and as variables.

Repeat the process using the same variable values and the other pair of coefficient values to calculate a new constant term, . Then write your second equation.

Write back and tell me what you came up with for a system of equations and we can discuss several possible strategies for solving the system.

John

My calculator said it, I believe it, that settles it