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): You can put this solution on YOUR website!
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
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