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consider the following two equations two x plus three y is equal to eight and also five x minus three y is equal to negative one how can we solve these two equations using elimination which is also known as the addition method using elimination what you want to do is add the two equations 3y plus negative 3y these two cancel 2x plus 5x is 7x and 8 plus negative 1 is 7. so now if we divide both sides by seven we can get the value of x seven divided by seven is one now once you have the value of x you can plug it into the first or even the second equation lets use the first one lets replace x with one so were gonna have two times one plus three y is equal to eight two times one is two next lets subtract both sides by two so that cancels so were going to have now is 3y is equal to 8 minus 2 which is 6. and now lets divide both sides by 3. 6 divided by three is two so y equals two so to write your answer as an ordered pair its gonna be one comma two now lets try another example le