On solving the provided question, by substitution method we got that y=1.43 and x=o.65
<h3>What is substitution method?</h3>
To solve systems of linear equations, use the algebraic technique of substitution. The name of the technique implies that it involves substituting the values of variables from one equation into another.
x=cakes , y=donuts
3x+6y=$10.14 ------ eqt.1
4x+4y=$8.32 ------ eqt.2
solve eqt.1 for "y"
y=1.43
x=o.65
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The correct question is
Ellie and Mary went to the Stef bakery. Ellie bought 3 cakes and 6 filled donuts for $10.14. Mary bought 4 of each for $8.32. What is the price of each type The price of a is The price
Answer:
The inverse of the matrix A is
Step-by-step explanation:
We have the following matrix
Step 1 - Adjoin the identity matrix to the given matrix
Step 2 - Transform the matrix to the reduced row echelon form
- Row Operation 1: multiply the 1st row by 1/2
- Row Operation 2: add -1 times the 1st row to the 2nd row
- Row Operation 3: add -1 times the 1st row to the 3rd row
- Row Operation 4: multiply the 2nd row by 2/3
- Row Operation 5: add -1/2 times the 2nd row to the 3rd row
- Row Operation 6: multiply the 3rd row by 3/4
- Row Operation 7: add -1/3 times the 3rd row to the 2nd row
- Row Operation 8: add -1/2 times the 3rd row to the 1st row
- Row Operation 9: add -1/2 times the 2nd row to the 1st row
As can be seen, we have obtained the identity matrix to the left. So, we are done.
The inverse of the matrix A is
Answer:
Step-by-step explanation:
Common ratio r = a₂/a₁ = 16/(-4) = -4
a₄ = a₃(-4) = 256
a₅ = a₄(-4) = -1024
a₆ = a₅(-4) = 4096