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
Anna35 [415]
3 years ago
13

How do you solve this problem using substitution and then check it?:y= -3x-2 2x+5y=16

Mathematics
2 answers:
IrinaVladis [17]3 years ago
8 0
We have the variable y so lets substitute
y=-3x-2
2x+5y=16

2x+5y=16
2x+5(-3x-2)=16
2x-15x-10=16
-13x=26
x=-2

y=-3x-2
  =-3(-2)-2
  =4

2x+5y=16
2(-2)+5(4)=16
-4+20=16
16=16
VashaNatasha [74]3 years ago
4 0
You have to get a variable by itself like in here... Y is itself so in the other equation or we can say second one you just have to sub it in... Like

2x+5(-3x-2)=16
2x-15x-10=16
Now you just have to subtract 2 from 15, because of the same variable that is (x)
So -13x-10=16
Take 10 to the other side means add from the both sides, that will get you at
-13x=26
So now x= -2
Remember you added because it was -10 if it would be a positive 10 then you have to subtract it from both of the sides but since here it was negative so you just added them up
Hope i helped
You might be interested in
A circle is defined by the equation x2 + y2 – x – 2y – = 0. What are the coordinates for the center of the circle and the length
madreJ [45]
X^2 + y^2 - x - 2*y = 0
To find both coordinates and radius we need to make this equation in circle form:
(x-a)^2 + (y-b)^2 = r^2

x^2 - 2*1/2*x + 1/4 - 1/4 + y^2 - 2*1*y + 1 - 1 = 0
Here we are adding and subtracting numbers in order to get square binomial.
(x - 1/2)^2 + (y-1)^2 = 5/4

coordinates of center are (1/2,1) and the radius is √\frac{5}{4}
6 0
3 years ago
Read 2 more answers
Sixteen added to a number is equal to forty. Find the number.
FinnZ [79.3K]

Answer:

The number is 24

Step-by-step explanation:

Let x = number

Add 16 to the number

x+16

Is equal to 40

x+16 = 40

Subtract 16 from each side

x+16-16 = 40-16

x = 24

6 0
3 years ago
Solve the following equation. Then place the correct number in box provided.
Pepsi [2]

x is equal to 0 because 6 is already equal to 6

so there shouldnt be another number unless its 0

0+6=6

7 0
3 years ago
Part A: Virginia earned $14 walking her neighbors' dogs on Saturday. She earned some extra money on Sunday doing the same thing.
shutvik [7]
Part A: 14 + 14 = y or 14•2 = y
Part B: (n•2) - 2 = a

Not 100% sure that this is correct but, hope this helps! :) If you have any questions than ask me.
7 0
3 years ago
Nalia worked 3.5 hours more than lisa together they worked a total of 18 hours lisa worked h hours
andre [41]

Answer:

7.25 and 10.75 Hours

Step-by-step explanation:

Total hours Nalia and Lisa worked = 18 Hours

Nalia worked 3.5 hours then Lisa which is h hours

⇒h + (h + 3.5) = 18

2h + 3.5 = 18\\2h = 18 - 3.5\\2h = 14.5\\h = \frac{14.5}{2} \\h = 7.25

Lisa has worked for 7.25 hours

Nalia has worked for = 7.25 + 3.5 = 10.75 hours

3 0
3 years ago
Other questions:
  • Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-cho
    5·1 answer
  • New Designs Up has 33 rows of seats in her Conference hall. If there are 45 seats in the 1st row, 41 in the 3rd, 37in the 5th an
    15·1 answer
  • What is 12 x 15 (405 x 10)
    8·2 answers
  • Mount Kosciuszko is the highest mountain in Australia, with a peak of about 2,228 meters above sea level. Lake Erye has the lowe
    12·1 answer
  • Among 18 students in a room, 7 study mathematics, 10 study science, and 10 study computer programming. Also, 3 study mathematics
    11·2 answers
  • You roll a standard, six-sided number cube. What is the probability of rolling a prime number or a number greater than 3?
    15·1 answer
  • Find the slope of the line.<br> - 3x – 2y = 7
    9·1 answer
  • What is 20:50 (Equivalent Ratios)
    5·2 answers
  • STATISTICS HELP PLEASE #3
    9·1 answer
  • A company makes an ice-cream treat in the shape of a hemisphere on top of a cone, as shown below.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!