SOLUTION: if matrix a=matrix b what are the values of x,y,z? a 2 5y 3 12z b 10x 15 3 48

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Question 463663: if matrix a=matrix b what are the values of x,y,z?
a
2 5y
3 12z
b
10x 15
3 48
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
If matrix a = matrix b what are the values of x,y,z?
.
%28matrix%28+2%2C+2%2C+%0D%0A+++2%2C+5y%2C%0D%0A+++3%2C12z%29%29
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%28+matrix%28+2%2C+2%2C+%0D%0A+++10x%2C+15%2C%0D%0A+++++3%2C+48%29%29
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Two matrices are equal if and only if they have the same dimensions and each of the corresponding elements are equal. For example, we already see that the lower left hand element is 3 in both matrices.
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We can set up equations for the other three corresponding pairs of elements, and solve for the variables.
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To begin, 5y and 15 are in the upper right position in matrix a and b ,respectively. So we can set up the equation
5y = 15
y = 15/5 = 3
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You can solve for the variables x and z in the same manner.
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Hope this helps!
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Ms.Figgy
math.in.the.vortex