Question 387699: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
4a + 20b = 8
8a = -40b + 16
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Rewrite the second equation in standard form:
8a + 40b = 16
Notice that this equation can be obtained by multiplying both sides of the first equation by 2. Therefore these two equations represent the SAME LINE. There are infinitely many solutions, since the ENTIRE LINE is the solution.
For additional help with SYSTEMS OF EQUATIONS, please take a look at my own website. To see it click on my tutor name "rapaljer" anywhere in algebra.com. Look for the link to my website there. From my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time", click on "Basic Algebra," and then "Chapter 4." Look for Section 4.07 Systems of Equations.
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Seminole State College of Florida
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