1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Juli2301 [7.4K]
3 years ago
14

Solve the system by substitution x=-8y-15 2x+5y=-8

Mathematics
2 answers:
lidiya [134]3 years ago
8 0
2(-8y-15)+5y=-8
-16y-30+5y=-8
-11y-30=-8
+30 +30
-11y=22
—- —-
-11 -11
y=-2
x=-8(-2)-15
x=16-15
x=1

(1,-2)
Ghella [55]3 years ago
3 0

To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation.  This is modeled below:

x = -8y - 15

2x + 5y = -8

2 (-8y - 15) + 5y = -8

Now, we should solve this new equation for y.  To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.

-16y - 30 + 5y = -8

Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.

-11y - 30 = -8

Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.

-11y = 22

After that, we should divide both sides of the equation by -11 in order to get the variable y alone.

y = -2

Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).

x = -8y - 15

x = -8(-2) - 15

To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.

x = 16 - 15

x = 1

Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.  

Hope this helps!

You might be interested in
Please help me ASAP!!!​
Verizon [17]
1. Integer

2. Rational Number

3. Rational Number

4. Whole number

5. Rational Number


Let me know if these are correct. Correct if I’m wrong I don’t want to give wrong answers
5 0
3 years ago
AKJL-AWJX. Identify the coordinates of X and the scale factor.
aleksandr82 [10.1K]
Do you still need help with this question?
4 0
2 years ago
Select all the functions whose graphs include the point (3, 12)
anygoal [31]

1.   Y=4

2.  Y=2

3.  Y=X

4.  Y=2

(X,Y)

i hope this helps

Step-by-step explanation:

8 0
2 years ago
5m - 3n = 19; m - 6n = -7 /pls. help me solve this linear equation with two variables.
Allisa [31]

Answer:

m = 5, n = 2

Step-by-step explanation:

5m - 3 n = 19\\m - 6n = - 7 \ => m = -7 + 6n\\\\Substitute \ m  \ in \  5m - 3n = 19\\\\5(-7 + 6n) - 3n = 19\\-35 + 30n -3n = 19\\27n = 19 + 35 \\27n = 54 \\n = 2\\\\Substitute \ n = 2 \  in \  m = -7 + 6n\\\\m = -7 + (6 \times 2) = -7 + 12 = 5

5 0
3 years ago
The last customer of the day calls telling you they purchased 96 meters of fencing to fence in a
Lilit [14]

Answer:

Area = 733 m² (to the nearest meter)

Step-by-step explanation:

<u></u>

<u>Formulae</u>

  • Circumference of a circle = 2\pir
  • Area of a circle =  \pir²

      (where r is the radius of the circle)

<u>Find the radius</u>

circumference = 96 m

Using the circumference of a circle formula:

⇒  2\pir = 96

⇒  \pir = 96 ÷ 2 = 48

⇒  r = 48 ÷ \pi = 48/\pi

<u>Find the area</u>

radius r = 48/\pi

Using the area of a circle formula:

⇒  A = \pir²

⇒  A = \pi(48/\pi)²

⇒  A = 2304/\pi

⇒  A = 733.3859778...

⇒  A = 733 m² (to the nearest meter)

6 0
2 years ago
Other questions:
  • Every day, there are 5 times more likes on an internet video of a dog which is modeled by the function c(n) = (5)n − 1, where n
    15·1 answer
  • Can someone help me out please :)
    7·1 answer
  • Problems due Monday.
    15·2 answers
  • The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 22.5 ounces of trail mix
    10·1 answer
  • Alloy C is made from some part of Alloy A and Alloy B. Alloy C, which weighs 400 ounces and has 40% aluminum, is obtained from m
    14·1 answer
  • Multiply This Expression: -10 ( -a + 5 )
    13·2 answers
  • 75 - { ( 8 x 3 ) + 6 }
    6·2 answers
  • Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.
    10·1 answer
  • Is -3/4 greater than -0.25
    7·2 answers
  • A triangle has two sides of length 7.2 and 11.6. What compound inequality describes the possible lengths for the third side, x?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!