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
PilotLPTM [1.2K]
3 years ago
12

? What is the solution of a system defined by 5x + 2y = 30 and -5x + 4y = 0? 0 (0, 30) O (6, 15) O (4,5) 0 (6,0)​

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

(4,5)

Step-by-step explanation:

Hi there!

We are given the system of equations:

5x+2y=30

-5x+4y=0

and we need to find the solution

there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable

When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively

5x+2y=30

-5x+4y=0

add the equations together

6y=30

divide both sides by 6

y=5

we found the value of y

now we need to find the value of x

substitute 5 as y into either one of the equations (ex. the first one) to solve for x

5x+2(5)=30

multiply

5x+10=30

subtract 10 from both sides

5x=20

divide both sides by 5

x=4

so the answer is x=4, y=5; as a point, it's <u> (4,5)</u>

Hope this helps! :)

You might be interested in
The function f(x)=(x-1)^4 is not one to one. However, if we restrict the domain to x greater than or equal to 0, we can find it'
nikklg [1K]

Answer:

Option A

Step-by-step explanation:

Domain should be greater than/equal to 1 for the function to be one-one.

f has vertex at (1,0)

f inverse has (0,1)

f(x) = 4

(x - 1)⁴ = 4

x = 2.414

On f: (2.414, 4)

On f inverse: (4, 2.414)

6 0
3 years ago
Someone answer right por favor
MAXImum [283]
The answer is 64!

hope this helps youu!!
7 0
2 years ago
Read 2 more answers
Volume problem please help quick
sleet_krkn [62]

Answer:

Answer is D

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Determine the number and type of complex solutions and possible real solutions 4x3 – 12x + 9 = 0
kirill [66]
21 + -12x=0 I think that is the solutiuon
4 0
3 years ago
Bob Rohrman is offering a 2017 Toyota Camry for $29,000. If you have a 7% down payment and are able to borrow the rest at a 2.99
Yakvenalex [24]

Monthly installment  payment  is $597 .Total payments is $28,649

Step-by-step explanation:

Down payment = $29,000×7 ÷100= $2,030

Loan amount   =  $29,000 - 2,030 = $26,970

Interest rate     =  2.99%

Repayment period = 48 months (4 years)

simple interest formula: A = P(1 + rt) where P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.

= 26,970 (1+0.0299) × 4) +p =$28,648.51

= 26,970 (1+0.0299) × 4) +p =$28,648.51

Monthly payment = $596.84 (or) $597 (rounded off)

Monthly payment = $596.84 (or) $597 (rounded off)

Total payments is $28,649

6 0
2 years ago
Other questions:
  • Write 2.161616 as a mixed number
    7·1 answer
  • Simplify. <br><br> (-4)2 · 2 + 3 - 5 · 3
    7·1 answer
  • The sum of 1/6, 2/3, and 1/4 is
    13·1 answer
  • I need help with this pleas
    13·1 answer
  • PART A: Are the triangles congruent?
    5·1 answer
  • Question in the picture ​
    15·1 answer
  • Please help I need it BAD
    9·2 answers
  • Pls help this is the only question I don’t know!
    5·2 answers
  • Find the equation of the line with slope = -6 and passing through (-6,42). Write your equation in y=Mx+b.
    12·1 answer
  • 9. The area of a circle is 706.97 in2. Find the radius.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!