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
icang [17]
3 years ago
14

Solve the system algebraically. Check your work.

Mathematics
1 answer:
Luden [163]3 years ago
8 0

answer.

Answer:

x=2 and y=0 is the required result.

Step-by-step explanation:

We have been given system of equations:

5x+2y=105x+2y=10     (1)

And 3x+2y=63x+2y=6      (2)

We will use elimination method:

Multiply 1st equation by 3 and 2nd equation by 5 we get:

15x+6y=3015x+6y=30      (3)

15x+10y=3015x+10y=30      (4)

Now subtract  (4) from (3) we get:

-4y=0−4y=0

y=0y=0

Now, put y=0 in (1) equation:

5x+2(0)=105x+2(0)=10

5x=105x=10

x=2x=2

Hence, x=2 and y=0

You might be interested in
the zeros of a parabola are -4 and 2, and (6, 10) is a point on the graph. which equation can be solved to determine the value o
natka813 [3]
Sure this question comes with a set of answer choices.

Anyhow, I can help you by determining one equation that can be solved to determine the value of a in the equation.

Since, the two zeros are - 4 and 2, you know that the equation can be factored as the product of (x + 4) and ( x - 2) times a constant.  This is, the equation has the form:

y = a(x + 4)(x - 2)

Now, since the point (6,10) belongs to the parabola, you can replace those coordintates to get:

10 = a (6 + 4) (6 - 2)

Therefore, any of these equivalent equations can be solved to determine the value of a:

10 = a 6 + 40) (6 -2)

10 = a (10)(4)

10 = 40a
7 0
3 years ago
Read 2 more answers
Two cars traveling toward each other are 250 miles apart. Car a is traveling 15 miles per hour faster than car
Anon25 [30]

Let car  b be travelling at x  mph.  as they are travelling towards each other their speed of approach is (x + x + 15 ) mph.  So we have the equation

speed = distance / time

2x + 15 =  250 / 2

2x = 125 - 15 = 110

x = 55 mph

Car b travels at 55 mph and car a travels at 70 mph  Answer

3 0
3 years ago
Combina los términos semejantes<br> -16 + 8x +20x -5y
mrs_skeptik [129]
28x+-21 you simplify them first
7 0
3 years ago
Read 2 more answers
SOMEONE HELP ASAP PLEASEEEEE!!!!!
Murrr4er [49]

Answer:

the answer is 35% probability

your welcome

5 0
2 years ago
SImplify 4(6-2x)-3(3-4x)
PtichkaEL [24]

4x + 15

24 - 8x - 9 + 12x

Add or subtract the common variables

4x + 15  

8 0
3 years ago
Other questions:
  • Simplify completely x^2+4x-45 / x^2+10x+9
    15·1 answer
  • In an aquarium, there are 6 large fish and 8 small fish. Half of the large fish are blue.
    10·2 answers
  • Which statement is true?
    12·2 answers
  • Find the coordinates of the midpoint MM of ST. Then find the distance between points SS and TT. Round the distance to the neares
    7·1 answer
  • What does it mean for rows to be linearly independent?
    11·1 answer
  • Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 60 feet and a width of 80
    12·1 answer
  • Solve for R.<br><br> 2T=5RS<br> R=5ST2<br> R=2S5T<br> R=25ST<br> R=2ST5
    7·1 answer
  • 3. A number between 30 and 50 is chosen at random. What's the probability that the
    13·1 answer
  • There are 6 girls and 18 boys in a class. What percentage of the class are girls?​
    13·2 answers
  • Given the diameter of a circle is 17 1/2cm, find its area. (use π=22/7)​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!