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Solution
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Solution provided by AtoZmath.com
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Solving systems of linear equations using Cramer's Rule method calculator
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 1. `2x+y+z=5,3x+5y+2z=15,2x+y+4z=8`
2. `2x+5y=16,3x+y=11`
3. `2x+5y=21,x+2y=8`
4. `2x+y=8,x+2y=1`
5. `2x+3y-z=5,3x+2y+z=10,x-5y+3z=0`
6. `x+y+z=3,2x-y-z=3,x-y+z=9`
7. `x+y+z=7,x+2y+2z=13,x+3y+z=13`
8. `2x-y+3z=1,-3x+4y-5z=0,x+3y-6z=0`
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Example1. Solve Equations 2x+5y=21,x+2y=8 using Cramer's Rule methodSolution:The equations can be expressed as `2x+5y-21=0` `x+2y-8=0` Use Cramer's Rule to find the values of x, y, z. `(x)/D_x=(-y)/D_y=(1)/D` `=5 × (-8) - (-21) × 2` `=-40 +42` `=2` `=2 × (-8) - (-21) × 1` `=-16 +21` `=5` `=2 × 2 - 5 × 1` `=4 -5` `=-1` `(x)/D_x=(-y)/D_y=(1)/D` `:. (x)/2=(-y)/5=(1)/-1` `:. (x)/2=(1)/-1,(-y)/5=(1)/-1` `:. x=(2)/(-1),y=(-5)/(-1)` `:. x=-2,y=5`
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