If x + y = 5, y + z = 7 and z + x = 8, then the product xyz equals:

Question

Accepted Answer

30. Adding all three equations gives 2(x + y + z) = 20, so x + y + z = 10. Then z = 10 − 5 = 5, x = 10 − 7 = 3 and y = 10 − 8 = 2. Hence xyz = 3 × 2 × 5 = 30.

If $x + y = 5, y + z = 7$ and $z + x = 8$ , then the product $x yz$ equals:

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More Algebra practice

If x+y=5,y+z=7 and z+x=8, then the product xyz equals:

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Algebra practice

If $x + y = 5, y + z = 7$ and $z + x = 8$ , then the product $x yz$ equals: