ANSWERS: 1
  • Call the numbers a and b. First part: 2a = b+20 second part: (1/4)a = 0.25b - 2 General way of solving these: multiply or divide one or both of the equations by a constant to make the coefficients of one of the letters the same magnitude. We could multiply the second equation by 8 to make the left hand side 2a, the same as the first equation... or we could divde the first by 2 and the second by (1/4) to make them both a... or multiply the second equation by 4 to make both equations have a single b on the right. Then you add or subtract the equations to eliminate that variable. So using the first idea of multiplying the second by 8: the equations become: First part: 2a = b+20 second part: 2a = 2b - 2 Now both have 2a on the left. Subtracting will get rid of them. There's more b's on the second equation so I'll subtract the first from the second: 0 = b - 22 I wonder what b is.

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