# SOLUTION: .813x+.743y=.079 .491x+.114y=.826 solve by substitution, graphing, manipulating coefficients, and cramer's rule, i cant figure out what to do because all the variables have num

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: .813x+.743y=.079 .491x+.114y=.826 solve by substitution, graphing, manipulating coefficients, and cramer's rule, i cant figure out what to do because all the variables have num      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Matrices, determinant, Cramer rule Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Matrices-and-determiminant Question 89933This question is from textbook intermediate algebra : .813x+.743y=.079 .491x+.114y=.826 solve by substitution, graphing, manipulating coefficients, and cramer's rule, i cant figure out what to do because all the variables have numbers?????This question is from textbook intermediate algebra Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!.813x+.743y=.079 .491x+.114y=.826 --------------- To get rid of the decimals, multiply thru each equation by 1000: 1st: 813x + 743y = 79 2nd: 491x + 114y = 826 ----------------------- To solve the system by elimination, multiply 1st thru by 491 and 2nd thru by 813 3rd: 399183x + 364813y = 38789 4th: 399183x + 92682y = 671538 -------------------------- To solve for y, subtract 4th from 3rd to get: 272131y = -632749 y = -2.325 ------------ Substitute that into 491x + 114y = 826 to solve for x: 491x + 114*-2.325 = 826 491x = 826 + 265.069 491x = 1091.069 x = 2.222 ============ Comment: I checked these answers with matrix methods. They are correct. Cheers, Stan H.