MATHEMATICS HIGH SCHOOL

Solve the following system by any method. 2x – 6y = 24 –5x + 6y = –6 A. (4, –1)
B. (0, –6)
C. (6, –1)
D. (–6, –6)

Answers

Answer 1
Answer:

Answer:

D)  ( -6 , -6 ) .

Step-by-step explanation:

Given  : 2x – 6y = 24 and   –5x + 6y = –6 .

To find : Solve the following system by any method.

Solution : We have given that

2x – 6y = 24 -------(1)

–5x + 6y = –6 ------(2)

______________             ( Adding both equations)

-3x + 0 = 18.

________________

-3x = 18

On dividing by - 3 both sides

x = -6 .

Plugging the value x = -6 in equation 1.

2x - 6y = 24 .

2 ( -6) - 6y = 24.

-12 -6y = 24 .

On adding both sides by 12.

- 6y = 24 +12

-6y = 36

On dividing by -6 both sides.

y = -6 .

Solution ( -6 , -6 ) .

Therefore, D)  ( -6 , -6 ) .
Answer 2
Answer: 2x - 6y = 24
-5x + 6y = -6
----------------add
-3x = 18
x = 18/-3
x = -6
 
2x - 6y = 24
2(-6) - 6y = 24
-12 - 6y = 24
-6y = 24 + 12
-6y = 36
y = 36/-6
y = -6

solution is : (-6,-6)

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To get into the carnival, it costs $5. Then each ride costs $2.25. *Use a linear equation to solve the following:If you brought $35, how many rides can you go on?
How much would it cost altogether to ride 7 rides?

Answers

Answer:

equation: y=2.25x+5

a: 13 rides

b:$20.75 for 7 rides

explanation:

a: 35=2.25x+5

first subtract 5 from 5 and 35

30=2.25x

divide each side by 2.25

x= 13 1/3

can only go on 13 rides

b: y=2.25(7)+5

2.25×7=15.75

15.75+5=20.75

$20.75 for 7 rides

150 adults complete a survey.80 are women.
Write the ratio

in its simplest form.

Answers

150: 80 = 1 7/8 hope u have a blessed day

Answer:

7:8

Step-by-step explanation:

150 adults complete a survey.

80 are women

therefore 70 are male (150-80)

the ration would be 7:8

Solve the following system of equations by graphing and select the correct answer below:2x + 6y = 20
3x _ 2y = 8


Answers:
x = 4, y = 2
x = 4, y = _2
x = _2, y = 4
x = 2, y = 4

Answers

the only answer is x = 4, y = 2, 
2(4) + 6(2) = 20
3(4) _ 2(2) = 8
the graph is so easy, please try!!

Answer:

Option A is correct.

x =4 , y = 2

Explanation:

Given the system of equation:

2x+6y = 20                   ......[1]

3x-2y = 8                       .....[2]

Multiply equation [2] by 3 both sides we get;

3 \cdot (3x-2y) = 3 \cdot 8

Using distributive property:a\cdot (b+c) = a\cdot b+ a\cdot c

9x - 6y = 24                     .....[3]

Add equation [1] and [3], to get eliminate y we get;

2x+6y+9x-6y= 20+24

Combine like terms we have;

11x = 44

Divide both sides by 11 we get;

x = 4

Substitute the value of x =4 in [1] we get;

2(4) + 6y = 20

8 + 6y = 20

Subtract 8 from both sides we have;

6y = 12

Divide both sides by 6 we have;

y = 2

Therefore, the values of x and y are; 4 and 2.

3^x - 3^(x-1) = 18 then 4^x is equal to

Answers

3^x-3^(x-1)=18\n\n3^x-3^x\cdot3^(-1)=18\n\n3^x-(1)/(3)\cdot3^x=18\n\n(2)/(3)\cdot3^x=18\ \ \ /\cdot(3)/(2)\n\n3^x=27\n\n3^x=3^3\iff x=3\n------------------\n4^x=4^3=64\leftarrow answer
3^x - 3^(x-1) = 18\n 3^x-3^x\cdot3^(-1)=18\n 3^x(1-(1)/(3))=18\n 3^x\cdot(2)/(3)=18\n 3^x=27\n x=3\n\n 4^x=4^3=64

1350 - something = 800

Answers