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
Anit [1.1K]
3 years ago
12

What is the solution to the system of equations?

Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

  1. (x, y) = (8, -1)
  2. (x, y) = (7, 10.5)

Step-by-step explanation:

1. You can use the expression for y to substitute into the first equation:

  2x +4(1/4x -3) = 12

  2x +x -12 = 12 . . . . . . eliminate parentheses

  3x = 24 . . . . . . . . . . . add 12; next divide by 3

  x = 8 . . . . . matches choice C

__

2. You can use the expression for y to substitute into the second equation:

  x -2(2x -3.5) = -14

  -3x +7 = -14 . . . . . . eliminate parentheses

  21 = 3x . . . . . . . . . . add 3x+14; next divide by 3

  7 = x . . . . . matches the third choice

_____

When the answer choices are sufficiently different, you only need to find one value to determine which is the correct choice. (If you want to check your work further, you can substitute the other answer value into the two equations to see if it works.)

You might be interested in
Mark has a shipping business. If your package weighs 2 pounds or less, the shipping costs $4. If your package weighs more than 2
maks197457 [2]
<span>So far I have:

(1.25 + 1) </span><span>if </span>x<span> is in the interval</span><span> (-inf,7]
(2.25 +1) </span><span>if </span>x<span> is in the interval (7,13)</span><span>
(3.50+1+3) </span><span>if </span>x<span> is in the interval [13,inf)</span>
7 0
3 years ago
I need help!
timama [110]
Fractions,rats, and percents all interconnect. For ext,50%=11/2 =1:2
6 0
3 years ago
Read 2 more answers
Use long division to find the quotient​ Q(x) and the remainder​ R(x) when​ P(x) is divided by​ d(x) and express​ P(x) in the for
lilavasa [31]

Answer:

P(x)=(x+9)(x^2-7x+52)+3

Step-by-step explanation:

We are given that

P(x)=x^3+2x^2-11x+471

d(x)=x+9

We have to find the value of Q(x) and Remainder R(x).

Quotient, Q(x)=x^2-7x+52

Remainder,R(x)=3

We know that

Dividend=Divisor\times Quotient+Remainder

P(x)=(x+9)(x^2-7x+52)+3

4 0
3 years ago
If f(x)=x+4 and g(x)=x^3 what is (g*f)(-3)
Molodets [167]

Step-by-step explanation:

g*f(x)=g(x+4)=(x+4)³

g*f(-3)=(-3+4)³

= 1³=1

4 0
3 years ago
Work out the volume of this hemisphere give your answer to 1 decimal place
Serggg [28]

Answer:

volume of hemisphere=2/3×pi×r³

volume of hemisphere=2/3×22/7×8³

volume of hemisphere = 1072.76cm³

3 0
3 years ago
Other questions:
  • 78/17 round to the nearest 10
    10·1 answer
  • Write 2 mixed numbers where the lcd is 12,but the product of the denominators is not 12
    5·1 answer
  • A single die is rolled. find the odds of rolling a number greater than 2
    5·1 answer
  • Determine whether the following statement is true or false.
    5·1 answer
  • Which graph best represents the equation 2X + 2Y=4
    13·1 answer
  • A carnival game gives players a 25% chance of winning every time it has played a player plays the game four times let XP the num
    13·1 answer
  • What is the equation of a line that passes through (-6,2) and has a slope of ‘-(1)/(2)’?
    12·1 answer
  • I have 10 minutes please help
    13·1 answer
  • Give me the answer please
    15·2 answers
  • What is 3c-8d=12 for c​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!