Word Problems: Systems of Linear Equations in Two Variables

Math - Grade 8 / Patterns and Algebra

Sample Question

The sum of 4 times a larger integer and 5 times a smaller integer is 7. When twice the smaller integer is subtracted from 3 times the larger, the result is 11.

What are the two linear equations that can be formed if [% x %] is the smaller integer and [% y %] is the larger integer?

  • [% 4y+5x=7;\:3y-2x=11 %]
  • [% 5y+4x=7;\:2y-3x=11 %]
  • [% 5y-4x=7;\:2y+3x=11 %]
  • [% 3x+4y=7;\:3x-2y=11 %]

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Math - Grade 8

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