Difference between revisions of "1960 AHSME Problems/Problem 18"
Rockmanex3 (talk | contribs) m (→Problem 18) |
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<cmath>3^{x+y}=3^4</cmath> | <cmath>3^{x+y}=3^4</cmath> | ||
<cmath>3^{4(x-y)}=3^1</cmath> | <cmath>3^{4(x-y)}=3^1</cmath> | ||
− | This results in a linear system of equations. | + | This results in a linear [[system of equations]]. |
<cmath>x+y=4</cmath> | <cmath>x+y=4</cmath> | ||
<cmath>4x-4y=1</cmath> | <cmath>4x-4y=1</cmath> | ||
Solve the system to get <math>x=\frac{17}{8}</math> and <math>y=\frac{15}{8}</math>. The answer is <math>\boxed{\textbf{(E)}}</math>. | Solve the system to get <math>x=\frac{17}{8}</math> and <math>y=\frac{15}{8}</math>. The answer is <math>\boxed{\textbf{(E)}}</math>. | ||
+ | ==See Also== | ||
+ | {{AHSME 40p box|year=1960|num-b=17|num-a=19}} | ||
− | + | [[Category:Introductory Algebra Problems]] | |
− |
Latest revision as of 19:03, 17 May 2018
Problem
The pair of equations and has:
Solution
Rewrite the equations so both sides have a common base. This results in a linear system of equations. Solve the system to get and . The answer is .
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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All AHSME Problems and Solutions |