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
uranmaximum [27]
1 year ago
11

Estimate the solution to the system of equations.

Mathematics
1 answer:
Leona [35]1 year ago
3 0

Answer:

\sf C)  \  x = -1\dfrac{2}{5}  , \  y =  \ 1\dfrac{3}{5}

Given equations:

  • a) -3x + 3y = 9
  • b) 2x - 7y = -14

<u>Make x the subject in equation 1</u>:

  • -3x + 3y = 9
  • -3x = 9 - 3y
  • x = y - 3

<u>Substitute this into equation 2</u>:

2(y - 3) - 7y = -14

2y - 7y = -14 + 6

-5y = -8

  y = -8/-5

  y = 1.6

Then x = y - 3

           = 1.6 - 3

           = -1.4

Solution: (x, y) ⇒ (-1.4, 1.6)

You might be interested in
What number is it? the difference of 9 and three times equals 69. find the number
Mazyrski [523]
Consider the number as 'n' (for now)
3n - 9 = 69
3n = 69 + 9
3n = 78
n = 78/3
n = 26
Therefore, The number is 26
8 0
3 years ago
(-3,2); m = 4 write an equation of the line that passes through the given point and has the given slope
Illusion [34]
2=4(-3) + b
2= -12 + b
14= b
Y=4x + 14
6 0
2 years ago
Can you answer these please many thanks
givi [52]

Given: (a) 2(x+3)=2x+6 and (b) 4(y-3)=4y-12.

To find: The expanded form of the given expressions.

(c) 4(m+n)=4m+4n       (using a(b+c)=ab+ac)

(d) 3(5-q)=15-3q           (using a(b-c)=ab-ac)

(e) 5(2c+1)=10c+5          (using a(b+c)=ab+ac)

(f) 3(2x-5)=6x-15          (using a(b-c)=ab-ac)

(g) 7(4b-1)=28b-7          (using a(b-c)=ab-ac)

(h) 3(2x+y-5)=3((2x+y)-5)

⇒3(2x+y-5)=3(2x+y)-15         (using a(b-c)=ab-ac)

⇒3(2x+y-5)=6x+3y-15            (using a(b+c)=ab+ac)

(i) 2(6a-4b+3)=2((6a-4b)+3)

⇒2(6a-4b+3)=2(6a-4b)+6         (using a(b+c)=ab+ac)

⇒2(6a-4b+3)=12a-8b+6            (using a(b-c)=ab-ac)

(j)6(m+n+p)=6((m+n)+p)

⇒ 6(m+n+p)=6(m+n)+6p           (using a(b+c)=ab+ac)

⇒ 6(m+n+p)=6m+6n+6p            (using a(b+c)=ab+ac)

(k) y(y+2)=y^2+2y          (using a(b+c)=ab+ac)

(l) g(g-3)=g^2-3g           (using a(b-c)=ab-ac)

(m) n(4-n)=4n-n^2        (using a(b-c)=ab-ac)

(n) a(b+c)=ab+ac           (using a(b+c)=ab+ac)

(o) s(3s-4)=3s^2-4s        (using a(b-c)=ab-ac)

(p) 2x(x+5)=2x^2+10x     (using a(b+c)=ab+ac)

(q) 4y(x-3)=4xy-12y      (using a(b-c)=ab-ac)

(r) 5a(2b-5)=10ab-25a     (using a(b-c)=ab-ac)

(s) 4a(3b+2c)=12ab+8ac    (using a(b+c)=ab+ac)

(t) 5p(4p-5q)=20p^2-25pq    (using a(b-c)=ab-ac)

6 0
3 years ago
Let [n] represent the greatest even integer less than n that divides n, for any positive integer n. For example, [24] = 12. What
ipn [44]
First you write down all even integers that divide 20.

Those are: 2,4,10,20

Since the request is that integer is less than n, 20 cannot be the answer.
This means that greatest even integer is 10

Answer is 10.
7 0
3 years ago
Can someone please explain The measure of angle A to the nearest tenth of a degree is:
Ratling [72]

Answer:

A =19.5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin A= opp/ hyp

sin A = 3/9

Take the inverse sin of each side

sin ^-1 sin A = sin ^-1 (3/9)

A =19.47122063

To the nearest  tenth of a degree

A =19.5

3 0
3 years ago
Read 2 more answers
Other questions:
  • There are 3 yellow marbles and 8 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of cho
    7·2 answers
  • Can you help me with this it’s so confusing plz help me with both is this
    15·1 answer
  • Find the product. 1.5m6(-2m2)4
    7·2 answers
  • Write each fraction as a percent.<br> 14/40
    5·2 answers
  • Nine out of twelve members of a jury are over 35 years old. What percent of the jury is not over 35?
    12·1 answer
  • A triangle has a base that measures 6.4 feet. It’s height measures 5 feet. How many square feet is the area of the triangle?
    14·1 answer
  • If x is 5, then 6x = _____. please help &gt;-
    14·2 answers
  • the combined area of two squares is 45 square centimetres each side is twice as long as a side of the other square what length o
    5·1 answer
  • A pizza restaurant, Johnny’s Pizzeria,is selling slices of cheese pizza and pepperoni pizza at the festival.So far today,the res
    11·1 answer
  • 6. a + 6 &lt; -2; a = -8<br> I<br> 0. yes<br> P. no
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!