Unit 5: College Algebra
1. Add the 2 equations together
2. If it comes to 0=0, then there are infinitely many solutions and solve for what y would equal
3. If you can solve it, solve for x and y
4. If it comes out to 0=some other number, then there's no solution - ANS-Solving a 2x2 system
of linear equations that is inconsistent or consistent dependent
1. Let x be the larger number
2. Let y be the smaller number
3. Put numbers into equations
4. Add equations together
5. Solve for x and y
6. Plug back in to make sure it works - ANS-Solving a word problem involving a sum and
another basic relationship using a system of linear equations
1. Create equations based off of the word problem
2. Put the equations on Desmos and find where they intersect
3. Enter intersection as the answer - ANS-Solving a value mixture problem using a system of
linear equations
1. Create equations based off of the word problem (use decimal for fraction)
2. Put the equations on Desmos and find where they intersect
3. Enter intersection as the answer - ANS-Solving a percent mixture problem using a system of
linear equations
1. Distance = rate x time (against is x-y and with is x+y)
2. Create 2 equations
3. Plug them into Desmos and find intersection point
4. Answer is coordinate - ANS-Solving a distance, rate, time problem using a system of linear
equations
1. Number the equations
2. Eliminate one of the variables by adding 2 of the equations together
3. Eliminate the same variable by using a different pair of equations
4. Plug x,y, and z in once you solve for them - ANS-Solving a 3x3 system of linear equations:
Problem type 1
1. Number the equations
2. Eliminate one of the variables by adding 2 of the equations together
3. Eliminate the same variable by using a different pair of equations
4. Plug x,y, and z in once you solve for them
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