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kow [346]
3 years ago
8

Solve the system of equations by using substitution. x+8y=-2 x-3y=20

Mathematics
1 answer:
zysi [14]3 years ago
4 0

Answer:

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

x+8y=-2\\x=-2-8y

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

x-3y=20\\(-2-8y)-3y=20

We can then simplify:

-2-8y-3y=20 Given equation

-2-11y=20 Combine y terms

-11y=22 Add 2

y=-2 Divide by -11

So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

x+8y=-2

x+8(-2)=-2 Substitute for y

x-16=-2 Distribute 8

x=14 Add 16

So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).

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Which is greater 8.2 or 8.23
faust18 [17]
I believe 8.23 is greater because 8.2 can be 8.20 so that’s why my answer is 8.23
8 0
3 years ago
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A quadratic rule for a particular parabola is of the form y = ax^2 + bx. The parabola passes through with the coordinates (-1, 4
Scilla [17]

Answer:

y = (4/7)x² - (24/7)(x)

Step-by-step explanation:

4 = a(-1)² + b(-1)

4 = a - b

0 = a(6)² + b(6)

36a + 6b = 0

b = -6a

4 = a - (-6a)

7a = 4

a = 4/7

b = -24/7

y = (4/7)x² - (24/7)(x)

6 0
3 years ago
Find the volume of the prism<br><br>1: 29 cubic cm <br><br>2: 819 cubic cm<br><br>3: 208 cubic cm ​
Lapatulllka [165]

Answer:

819 cm³

Step-by-step explanation:

Volume of a cuboid = l*b*h

6 0
3 years ago
At a candy store, Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. Meanwhile, Irene bough
ch4aika [34]
31. At the candy store: => Ericka bought 3 kilograms of Cinnamon red hots and 1 kilograms of gummy bears for 21.00 dollars. => Irene bought 3 kilograms of cinnamon red hots and 3 kilograms of gummy bears for 39.00 dollars. Question: Find the costs of each kilograms. Notice that the cinnamon red hot that they both are the same, the only difference is the gummy bears, which added 2kilos for Irene. Now, let’s subtract => 39 – 21 = 18 dollars – this is the costs of 2 kilos of gummy bear => 18 / 2 = 9 dollars, thus the price of each kilos of gummy bear is 9 dollars, Now, let’s solve for the cinnamon => 21 – 9 = 12 dollars, to be divided with 3 kilos => 12 / 3 = 4 dollars – the price of cinnamon red hot per kilo.
5 0
3 years ago
The equation -3(1+x) = -3x + 1 has no solutions. Show algebraically why this is true, and explain your reason
KiRa [710]
−3(1+x)=−3x+1
Step 1: Simplify both sides of the equation.
−3(1+x)=−3x+1
(−3)(1)+(-3)(X)=-3x+1
(Distribute)
−3+ −3x=−3x+1
−3x−3=−3x+1
Step 2: Add 3x to both sides.
−3x−3+3x=-3x+1+3x
−3=1
Step 3: Add 3 to both sides.
−3+3=1+3
0=4
Answer:
There are no solutions.

5 0
2 years ago
Read 2 more answers
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