You can
put this solution on YOUR website!Solve:
1)
2)
3)
Subtract equation 3) from equation 2).
-(
)
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a)
Now multiply equation 1) by 2 and equation 2) by 3.
2(
)=
3(
)=
Subtract the 1st equation from the 2nd equation.
-(
)
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b)
Multiply equation a) by 7 and equation b) by 3.
7(
)=
3(
)=
Subtract the 2nd equation from the 1st equation.
-(
)
----------------------
Now substitute this into equation a) and solve for y.
Substitute z = 5.
Subtract 50 from both sides.
Divide both sides by -3.
Finally, substitute y = 0 and z = 5 into equation 1) (or 2 or 3) and solve for x.
Substitute y = 0 and z = 5.
Add 5 to both sides.
Divide both sides by 3.
Now you can check these solutions by substituting x = -1, y = 0, and z = 5 into the three original equations and you'll find that they are correct. I'll leave this as an exercise for you to complete. Good luck!
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