simultaneous equations using Cramer’s rule
Solve the following simultaneous equations using Cramer’s rule.
x+ 2 y + 4 = 0; 3 x = – 4y – 6
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Solve the following simultaneous equations using Cramer’s rule.
x+ 2 y + 4 = 0; 3 x = – 4y – 6
Categories: Uncategorized
iPractice Math 
Rewritten, this is the same as:
1x + 2y = -4
3x + 4y = -6
Calculating the determinant of this system you get:
D= (1*4)-(2*3) = -2
and
Dx = (-4*-4)-(2*-6) = -4
Dy = (1*-6)-(-4*3) = 6
We have that
x = Dx/D = -4/-2 = 2
and
y = Dy/D = 6/-2 = -3
Therefor the solution using Cramer’s rule is:
x = 2
y = 3
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