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Identify which expressions or variables you are given in the diamond.
Identify which expressions or variables you are given in the diamond.
Identify which expressions or variables you are given in the diamond.
Identify which expressions or variables you are given in the diamond.
Comparing this diamond to the one showing the pattern, we can create two equations.
y=& -1
x+y=& 10
Since we know that y=-1, we can substitute it in the second equation to find x.
Since we know that x=11, we can find the upper square of the diamond by substituting x=11 and y=-1 in the expression xy.
Now we can complete our diamond!
In this diamond we have been given the values of x and y.
&x= 5
&y= -3
With the given information we can create the following equations.
x=& 23
xy=& 1
To complete the diamond we should substitute x= 23 in the second equation and find y.
Having found y, we can determine the last square in the diamond by substituting x and y in x+y.
Finally, we can complete our diamond!
For the last diamond we can create the following equations.
xy=& -14
x+y=& -5
This tells us that x and y, when multiplied, must give us a negative number. Therefore, either x or y must be negative and the other one must be positive. We have two cases that both results in a product of -14 when multiplied.