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Snowcat [4.5K]
4 years ago
11

Maria wants to solve the following system using the elimination method: 4x+9y=59 and x+y=17What number should the equation x+y=1

7 be multiplied by to eliminate y
Mathematics
1 answer:
horrorfan [7]4 years ago
5 0
\left\{\begin{array}{ccc}4x+9y=59\\x+y=17&|multiply\ both\ sides\ by\ (-9)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}4x+9y=59\\-9x-9y=-153\end{array}\right}\\.\ \ \ -5x=-94
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Equation is equivalent to 4x-2=30
expeople1 [14]
The answer is x=8 your welcome
3 0
3 years ago
Marcy purchases a total of 12 adult, child, and senior tickets for an art museum tour. Adult tickets are $5 each, child tickets
Kruka [31]

Answer:

A: The solution to this system is no viable because it results in fractional values of tickets

Step-by-step explanation:

Let number of adult, child, and senior tickets be x, y and z respectively.

Thus;

x + y + z = 12 - - - (eq 1)

she purchases 4 more child tickets than senior tickets.

Thus, y = z + 4

Thus:

x + (z + 4) + z = 12

x + 2z + 4 = 12

x + 2z = 8 - - - (eq 2)

Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,

Thus;

5x + 2(z + 4) + 4z = 38

5x + 2z + 8 + 4z = 38

5x + 6z + 8 = 38

5x + 6z = 38 - 8

5x + 6z = 30

Divide through by 5 to get;

x + (6/5)z = 6 - - - (eq 3)

Subtract eq 2 from eq 1 to get;

2z - (6/5)z = 8 - 6

2z - (6/5)z = 2

Multiply through by 5 to get;

10z - 6z = 10

4z = 10

z = 2½

It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.

6 0
3 years ago
How can I solve this?
SVETLANKA909090 [29]

Answer:

y is 70° and x is 40 °

Step-by-step explanation:

the triangle has two equal sides as shown on the diagram...so the next angle to 110° which is 70° is equal to y....then by calculation y + x should give us 110° so if y is 70 then x is 40.

6 0
3 years ago
Read 2 more answers
Four less than 5 times a number
Andrew [12]

Answer:

5n - 4

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

Four less than 5 times a number

5n - 4

Answer:  5n - 4

4 0
3 years ago
Read 2 more answers
hot dogs come in packs of 10 , while buns come in packs of eight . what are the least numbers of packs you should buy in order t
Blababa [14]
This question is basically asking for the least common multiple which in this case is 40 because 10x4 is 40 and 8x5 is also 40.
4 0
4 years ago
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