AOPS Algebra 1 Course, Lesson 8, 10/27/2019

Today, students continued to study the method of solving two-variable linear equations, elimination. In general, the methodology of solving multi-variable linear equation is to reduce two variables to one variable. Not all two-variable linear equation system has solution. One solution is only when two equations are absolutely distinct. When two equations are the same, there are infinitely many solutions. When coefficient of each variable in two equations are the same, but the constants are different, the system has no solution. In two variable word problem, the procedure is exactly the same as what students learned in solving single variable word problems. So far, word problem is still challenging to some students, especially in writing expressions and equations.
The homework for today’s class:
P. 136
5.3.1, 5.3.2, 5.3.3
P. 141
5.4.2, 5.4.3
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