document.write( "Question 825031: 2.5x + 3.7y = 13.365
\n" ); document.write( "8.2x - 1.5y = 7.02
\n" ); document.write( "Solve for x and y
\n" ); document.write( "I tried everything but cant seem to find the solution. \n" ); document.write( "
Algebra.Com's Answer #496945 by TimothyLamb(4379)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "2.5x + 3.7y = 13.365
\n" ); document.write( "8.2x - 1.5y = 7.02
\n" ); document.write( "---
\n" ); document.write( "solve the system by the matrix method:
\n" ); document.write( "---
\n" ); document.write( "copy and paste the above standard form linear equations in to this (matrix method) solver:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php
\n" ); document.write( "---
\n" ); document.write( "solution by the matrix method:
\n" ); document.write( "x = 1.35
\n" ); document.write( "y = 2.7
\n" ); document.write( "---
\n" ); document.write( "system matrix
\n" ); document.write( "2.5 3.7
\n" ); document.write( "8.2 -1.5
\n" ); document.write( "---
\n" ); document.write( "inverse of system matrix
\n" ); document.write( "0.044001173 0.10853623
\n" ); document.write( "0.24053975 -0.073335289
\n" ); document.write( "---
\n" ); document.write( "determinant of system matrix = -34.09
\n" ); document.write( "---
\n" ); document.write( "now solve the system by substitution:
\n" ); document.write( "---
\n" ); document.write( "2.5x + 3.7y = 13.365
\n" ); document.write( "3.7y = 13.365 - 2.5x
\n" ); document.write( "y = (13.365/3.7) - (2.5/3.7)x
\n" ); document.write( "y = (3.612162162162162) - (0.675675675675676)x
\n" ); document.write( "---
\n" ); document.write( "let:
\n" ); document.write( "A = 3.612162162162162
\n" ); document.write( "B = -0.675675675675676
\n" ); document.write( "y = A + Bx
\n" ); document.write( "---
\n" ); document.write( "8.2x - 1.5y = 7.02
\n" ); document.write( "8.2x - 1.5(A + Bx) = 7.02
\n" ); document.write( "8.2x - 1.5(A) - 1.5(B)x = 7.02
\n" ); document.write( "8.2x - 1.5(B)x = 7.02 + 1.5(A)
\n" ); document.write( "(8.2 - 1.5(B))x = (7.02 + 1.5(A))
\n" ); document.write( "x = (7.02 + 1.5(A))/(8.2 - 1.5(B))
\n" ); document.write( "x = (7.02 + 1.5*(3.612162162162162))/(8.2 - 1.5*(-0.675675675675676))
\n" ); document.write( "---
\n" ); document.write( "x = 1.35
\n" ); document.write( "y = A + Bx
\n" ); document.write( "y = A + (B)*(1.35)
\n" ); document.write( "y = 3.612162162162162 + (-0.675675675675676)*(1.35)
\n" ); document.write( "y = 2.67
\n" ); document.write( "---
\n" ); document.write( "solution by the substitution method:
\n" ); document.write( "x = 1.35
\n" ); document.write( "y = 2.7
\n" ); document.write( "---
\n" ); document.write( "NOTE: matrix method and substitution method solutions agree.
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "
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