<PRE><B>Question 825223</B>
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5x+3y=-7
-3x+y=7
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution by matrix method:
x = -2
y = 1
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system matrix
5 3
-3 1
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inverse of system matrix
0.071428571 -0.21428571
0.21428571 0.35714286
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determinant of system matrix = 14
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now by substitution:
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-3x + y = 7
y = 3x + 7
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5x + 3y = -7
5x + 3(3x + 7) = -7
5x + 9x + 21 = -7
14x = -28
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x = -2
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y = 3x + 7
y = 3(-2) + 7
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y = 1
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solution by substitution:
x = -2
y = 1
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NOTE:
the solution by matrix method agrees with the solution by substitution.
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Solve and graph linear equations:
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Solve quadratic equations, quadratic formula:
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Solve systems of linear equations up to 6-equations 6-variables:
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