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
Tema [17]
3 years ago
10

How do I use substitution to solve a system of linear equations?

Mathematics
1 answer:
ELEN [110]3 years ago
7 0

Answer:

for example:

y=2x+4

 3x+y=9

We can substitute y in the second equation with the first equation since y = 2x+4.

  3x+(2x+4)=9

5x+4=9

5x=5

x=1

You might be interested in
In a vending machine, there were 27 coins, all dimes and quarters. The total value of the money was $5.10.
amm1812

Answer:

11 dimes and 16 quarters

Step-by-step explanation:

system of equations lol

5 0
3 years ago
Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
3 years ago
bob bought 3 packs of model cars he gave 4 cars to ann bob has 11 cars left how many models were in each package
Katena32 [7]

Answer:

5

Step-by-step explanation:

(4+11)/3 = 15/3 = 5

5 0
3 years ago
Read 2 more answers
Two classes are planning to go on a field trip together. One clas with 18 students is being joined by 6 boys and 11 girls from a
Serjik [45]

Answer: The boys made up 6b of the original class.

Step-by-step explanation:

7 0
3 years ago
A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting
Ganezh [65]

Answer:

a: 2.234

Step-by-step explanation:

i checked after i took the test. its right, enjoy

5 0
3 years ago
Other questions:
  • The length plus the width of a rectangle is 10. Let x represent the length. The equation for the area y of the
    12·1 answer
  • the deli in the grocery store sells each customer a cup of coffe worth $1.50 each. write a function to represent the situation.
    15·1 answer
  • What is the factorization of this polynomial? 9x^2-0x-4
    7·1 answer
  • Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What
    14·1 answer
  • What is the hcf of 108 and 24
    9·2 answers
  • On the written portion of her driving test, Sara answered 84% of the questions correctly. If Sara answered 42 questions correctl
    6·1 answer
  • A city's population increases by 5% every year. If its population today is 300,000, write a function that models the population
    10·1 answer
  • A pooled variance is an estimated weighted variance made up of several different populations when the mean of each population ma
    11·1 answer
  • The sum of a number, x, and 12 is -6. What is the value of x?
    11·1 answer
  • The graph shows Ms. Padilla's monthly cell phone cost, where x is the number of minutes she uses the phone during the month.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!