Answer:
73 and -23 hope this helped hon :)
Step-by-step explanation:
y=-8x+9
plug in -8
y=-8(-8)+9
y=64+9
y=73
y=-8x+9
plug in 4
y=-8(4)+9
y=-32+9
y=-23
3/8 times 2/5 is 6/40 or 0.15. Just multiply straight across
Answer:
5.5, 9.5
Step-by-step explanation:
Let x and y be the numbers
x+y = 15
x-y = 4
Add the two equations together to eliminate y
x+y = 15
x-y = 4
------------------
2x = 19
Divide by 2
2x/2 =19/2
x = 9.5
Now find y
x+y = 15
9.5+y = 15
Subtract 9.5
x = 15-9.5
x =5.5
The matrix equation that can be solved to find all the respective costs is;
![\left[\begin{array}{ccc}2&3&50\\4&6&100\\2&5&80\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}51\\90\\78\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%2650%5C%5C4%266%26100%5C%5C2%265%2680%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D51%5C%5C90%5C%5C78%5Cend%7Barray%7D%5Cright%5D)
<h3>How to create matrix equations?</h3>
Let cost of admission for children be x.
Let cost of admission for adults be y.
Let cost of admission for carnival tickets be z.
Thus, we have the simultaneous equation as;
2x + 3y + 50z = 51
4x + 6y + 100z = 90
2x + 5y + 80z = 78
Thus, writing this in matrix form gives;
![\left[\begin{array}{ccc}2&3&50\\4&6&100\\2&5&80\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}51\\90\\78\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%2650%5C%5C4%266%26100%5C%5C2%265%2680%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D51%5C%5C90%5C%5C78%5Cend%7Barray%7D%5Cright%5D)
Read more about Matrix Equations at; brainly.com/question/11989522
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