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
the diagram shows a sector of a circle with centre o. the radius of the circle is 8 cm. the point p on oa is such that 2op=3qr a
mylen [45]
It would be c by process of elimenation
6 0
2 years ago
Just help me please!<br><br> simplify: 3x – 7 + 5x +8 <br> simplify: m + m + 3m +4
vlada-n [284]
1st one: 8x+1
2nd one:5m+4
4 0
2 years ago
Larry measures an object mass in grams which of the following object is he most likely measuring
Valentin [98]

If Larry is measuring the object's mass, the object he is most likely measuring is; D: A horse.

<h3>How to Measure Mass?</h3>

There are different units of measurement for different parameters such as meters for length, seconds for time, Amperes for current e.t.c.

Now, we are talking about measurement of an object mass in grams. This means it has to be a living thing and as such from the options, the only living thing is a horse.

Read more about Mass Measurement at; brainly.com/question/5493941

#SPJ1

4 0
1 year ago
PLEASE HELP ME ASAP I AM STUCK !!!!!!!!!!!Witch of the following are solutions to the equation below 5x^2-2x+16=4x^2+6x
poizon [28]
X=4

Explanation

First subtract 4x^2 + 6x from both sides of the equation

X^2 - 8x + 16 = 0

Then let’s factorice the equation using the middle-term break:

x^2 - 4x - 4x + 16 = 0
x (x - 4) - 4 (x - 4) = 0
(x - 4) (x - 4) = 0
(x - 4) ^2 = 0
x = 0

Therefore the solution to the equation is x = 4
7 0
3 years ago
In spherical geometry lines are called _____
tester [92]

Answer:

the answer is: a great circle

5 0
3 years ago
Other questions:
  • How would you characterize the relationships between the hours spent on homework and the test scores?
    9·1 answer
  • What is the range of 50,48, 56, 58, 54, 50, 48, 56, 46
    14·2 answers
  • Use the quadratic formula to solve x^2 + 9x + 10 = 0. Estimate irrational solutions to the nearest tenth.
    9·2 answers
  • Helppppppppppppppppppppppp
    12·1 answer
  • Please provide steps
    15·1 answer
  • Pls help me grades close today I will brainlest
    13·1 answer
  • Find the circumference of the circle.radius of 44 in Use 3.14 or 22/7
    14·1 answer
  • If the means of 4,6,9,Y, 16 and 19 is 13, what is the value of y​
    15·2 answers
  • Prove that the two circles shown below are similar.​
    13·1 answer
  • Find the measure of x.<br> 42°<br> X<br> 17<br> x= [ ?<br> Round to the nearest hundredth.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!