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Maurinko [17]
2 years ago
5

Solve the simultaneous equations x + 7y = 15 x + 2y = 5

Mathematics
2 answers:
tester [92]2 years ago
6 0
X + 7y = 15
x + 2y = 5
———————————
x + 7y = 15
(x + 2y = 5) -1
———————————
x + 7y = 15
-x - 2y = -5
———————————
x + 7y = 15
+ -x - 2y = -5
——————
0 + 5y = 10
———————————
5y = 10
— —
5 5
———————————
y = 2
Plug Y into one of the original equations to find x
———————————
x + 2y = 5
———————————
x + 2(2) = 5
———————————
x + 4 = 5
———————————
x + 4 = 5
- 4 | - 4
———————————
x = 5 - 4
———————————
x = 1
———————————


Answer is:
y = 2, x = 1
Or
(1, 2)
Juliette [100K]2 years ago
3 0

Answer:

x=1, y=2

Step-by-step explanation:

x + 7y = 15

x + 2y = 5

Subtract the two equations

x + 7y = 15

-x - 2y =- 5

------------------------

0x +5y = 10

Divide by 5

5y/5 = 10/5

y =2

Now find x

x+2y = 5

x +2(2) = 5

x +4 = 5

Subtract 4 from each side

x-4+4 = 5-4

x = 1

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shtirl [24]

Answer:

5.4

Step-by-step explanation:

The equations are equal so set them equal to each other and solve

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3 years ago
What is the substitution of -6x-8y=-20 and x+6y=-6
ale4655 [162]

Substitution doesn't work for this, but elimination does.

-6x-8y=-20 +6( x+6y=-6)

-6x-8y=-20 + 6x+36y=-36

-6x and 6x cancel each other, add -8 and 36 to get 28, and -20 and -36 to get -56.

28y=-56

divide by 28 on both sides.

Y= -2

Then substitute y into one of the equations.

x+6(-2)=-6

x-12=-6

x=6

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5 0
3 years ago
Read 2 more answers
John has a round swimming pool.The distance from the center of the pool to the edge is 3 meters.What is the diameter of John poo
shtirl [24]

Answer:

6 meters

Step-by-step explanation:

Th equation to find the diameter of a circle is,

radius * 2.

The radius of the swimming pool is 3, so 3 * 2 is 6.

Hope this helps!!

Let me know if I'm wrong...

8 0
3 years ago
A company provided the following data: Selling price per unit: 60 Variable cost per unit 20 Total fixed costs 400,000 HOw many u
EastWind [94]

Answer:

The company needs to sell 9000 units in order to turn a profit of $40,000

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

From the question we can get some important hints before creating our formula. First the Selling Price will be profit so it will be a positive number, but both unit cost and fixed costs are losses so they will be negative values in our formula. Also our formula will depend on the amount sold which we can represent as the variable x. With these hints we can create our formula as the following

(60x-20x)-400,000 = y

Where:

  • x is the amount of units created and sold
  • y is the total profit after selling x-units

Now that we have our formula the question asks how many units need to be sold in order to earn a profit of $40,000. We can calculate this by replacing the $40,000 with y and solving for x like so,

(60x-20x)-400,000 = 40,000 .... add 400,000 on both sides

40x= 360,000 ... divide both sides by 40

x= 9000

The company needs to sell 9000 units in order to turn a profit of $40,000

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0
3 years ago
The x3 was supposed to be an exponent not 3x
mote1985 [20]

Answer:

The value of x is 2\sqrt[3]{2}

Step-by-step explanation:

We are given 2+x^3=18

We need to solve for x

First we subtract 2 both sides

x^3=18-2=16

Taking cube roots both sides to isolate x

x=\sqrt[3]{16}

Simplify the radical

x=2\sqrt[3]{2}

Thus, The value of x is 2\sqrt[3]{2}

8 0
3 years ago
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