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algol13
3 years ago
7

Solve the systems of equations 6x+3y=9 2x+3y=1

Mathematics
1 answer:
patriot [66]3 years ago
7 0
Solve by elimination.
The goal is to cancel out one of the variables in order to easily solve for the other variable.

Do this by changing the equations so that the coefficients of either x or y add up to 0.

Notice the coefficients of y are 3 and 3, if we make one of them negative then they add up to 0. 3+ (-3) = 0

Multiply 2nd equation by -1.

6x +3y = 9
-2x -3y = -1
__________
4x +0y = 8

Solve for x
4x = 8
x = 8/4 = 2

Plug x=2 back into one of original equations to find y.
---> 2(2) + 3y = 1
---> 4 + 3y = 1
---> 3y = -3
---> y = -1

Therefore solution is (2,-1)
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A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204
grandymaker [24]

Answer:

x+y=12

21.50x+14.75y=204

Step-by-step explanation:

Let x be the number of adult tickets and y be the number of children's tickets.

We are given that there are total 12 people. Therefore, we can set:

x+y=12

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be 21.50x and cost of y children's ticket will be 14.75y. We can form the second equation by setting the total cost of tickets as:

21.50x+14.75y=204

Therefore, the required system of equations that could be used to find x and y will be:

x+y=12

21.50x+14.75y=204

6 0
2 years ago
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kvv77 [185]

Answer:

3x = y

Step-by-step explanation:

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6 0
3 years ago
Vanessa earns a base salary of $400.00 every week with an additional %5, percent commission on everything she sells. Vanessa sol
Leona [35]
$482.5 is the FINAL ANSWER

To find commission:
We can use the base of 100% being 1650
We can use 5% because thats her commission
Use: 100(x)=1650(5) -> 100(x)=8250 after doing math, youll get the outcome of 82.5 commission

To find the total:
Just add that commission to her total being 82.5 + 400 = 482.5 $

5 0
3 years ago
A homeowner puts a patio in the northwest corner of a square backyard. The area of the patios is 750
miskamm [114]

Answer:

17.6621ft²

Step-by-step explanation:

First we need to find the side length of the patio x

SInce the area of the patio = 750

Area of patio = x * x

Area of patio = x²

750 = x²

Swap

x² = 750

x = √750

x = 27.39ft

Length of the backyard = 27.39ft - 25ft = 2.39ft

Width of the backyard = 27.39ft - 20ft = 7.39ft

Area of the backyard = 2.39 * 7.39

Area of the backyard = 17.6621ft²

7 0
3 years ago
Help please!!
Luden [163]

Answer:

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5 0
2 years ago
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