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
Talja [164]
3 years ago
14

Solve by substitution or elimination 5x+3y=-15 -8x-2y=10

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
5 0

Answer:

x=0, y=-5

Step-by-step explanation:

The system is

(1)  5x+3y=-15  

(2) -8x-2y=10

Let's solve it by elimination.  In order to do it, you have to multiply the equations by suitable numbers in such a way that when you add the 2 equations, one of the unknowns is eliminated

Multiply (1) by 2 and (2) by 3

(1) 10x+6y=-30

(2) -24x-6y=30

Add the two equations

10x-24x+6y-6y=-30+30 ----> -14x=0---->x=0

Now replace this value in any equation, for example in (1)

6y=-30 ----> y=-30/6----> y=-5

Zinaida [17]3 years ago
4 0

Answer:  The required solution is (x, y) = (0, -5).

Step-by-step explanation:  We are given to solve the following system of equations by the method of substitution or elimination :

5x+3y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-8x-2y=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

We will be solving the given system by substitution method.

From equation (ii), we have

-8x-2y=10\\\\\Rightarrow -4x-y=5\\\\\Rightarrow y=-4x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of y from equation (iii) in equation (i), we get

5x+3(-4x-5)=-15\\\\\Rightarrow 5x-12x-15=-15\\\\\Rightarrow -7x=0\\\\\Rightarrow x=0.

From equation (iii), we get

y=-4\times0-5=-5.

Thus, the required solution is (x, y) = (0, -5).

You might be interested in
If 590 stufents preferred either pepperoni or cheese, how many students were surveyed in all?i
tatyana61 [14]

Answer:

if the only choices were pepperoni and cheese then 590 students were surveyed. I think there may be more to the question that you left out by accident

3 0
3 years ago
What is the speed of a car that takes 3 hours to go 75 miles
Rainbow [258]
75/3=25 miles per hour
That's your answer.
3 0
3 years ago
Read 2 more answers
Solve -2a - 5 &gt; 3<br>which graph shows solution​
stira [4]

Step-by-step explanation:

I got 4. sorry if wrong I tried to help ;(

4 0
3 years ago
Whats 10/14 in short decimal form ? ​
Setler79 [48]
<h2 />

=  >  \frac{10}{14}  \\

=  >  \frac{5}{7}  \\

=  > 0.71428

<h2 />
6 0
2 years ago
Read 2 more answers
9.2 as a mixed fraction and improper fraction
Anvisha [2.4K]

Answer: 9210

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • ?? AYUDAAAAMEEE<br>necesito la respuesta ya!! de inmediato ​
    8·2 answers
  • The endpoints of the diameter of a circle are (-7, 3) and (5, 1). what is the center of the circle? (-6, 2) (-2, 4) (-1, 2)
    5·2 answers
  • A store sells milk in 8 ounce cartons for $1.12. What is the unit price per ounce of milk
    10·1 answer
  • Help please i am stuck on what to do
    12·1 answer
  • PLSS HELP ME THE QUESTION AND EVERYTHING IS ABOVE what is the slope of the line and y intercept
    8·1 answer
  • Several legos are in a bin. You pick a lego at random. Without putting the lego back, you draw a second one. What is the probabi
    12·1 answer
  • Simplify the expression using the Distributive Property.<br><br> ½(10x + 20y)
    15·2 answers
  • 18.
    10·2 answers
  • 18m+42n in distributive property
    9·2 answers
  • 12. In a certain cafe, all the sandwiches and drinks are priced the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!