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
xeze [42]
3 years ago
12

Solve the following system of equations2x – 3y = 64x+2y=4​

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0

Answer:

\boxed{(\frac{3}{2} ,-1)}

Step-by-step explanation:

\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

2x-3y=6 \rightarrow -4x+6y=-12

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

8y=-8

Divide both sides by 8.

y=-1

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

4x +2(-1)=4

Simplify.

4x -2=4

Add 2 to both sides.

4x=6

Divide both sides by 4.

x=\frac{6}{4} \rightarrow\frac{3}{2}

The final answer is x=\frac{3}{2} ,~y=-1.

(\frac{3}{2} ,-1)

You might be interested in
The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
densk [106]

Answer:

A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

f(n) = 3(2)^n

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in f(n) = 3(2)^n

f(0) = 3(2)^0

f(0) = 3*1

f(0) = 3

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

f(0) = 3

Take n = 1

Substitute 1 for n in f(n) = 3(2)^n

f(1) = 3(2)^1

f(1) = 3*2

f(1) = 6

When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday

4 0
3 years ago
A rental truck cost $48 plus $0.40 per mile.
Natalija [7]
(a) If we let x be the number of miles and y be the total cost, the equation for relating the number of miles and the total cost would be,
                                y = 0.4x + 48

(b) If the rental cost is 60,
                               60 = 0.4x + 48
The value of x from the equation is 30.

(c) You may prepare the table of values by allowing x be any number and then solve for y until we arrive with an answer for y being equal to 60. 
3 0
3 years ago
Help pls 6th grade math i will give brainliest
SCORPION-xisa [38]

Answer:

G because y+y+y is the exact same as 3 y

5 0
3 years ago
Read 2 more answers
5 and 1/2 divided by 1 and 3/4​
musickatia [10]
The answer would be 3.1428
7 0
3 years ago
Read 2 more answers
Chase and Emily are buying stools for their patio. They are deciding between 333 heights (table height, bar height, and XL heigh
marysya [2.9K]

Answer:

The sample space is:

  • (T,N): table height and brown
  • (T, W): table height and white
  • (T, K) : table height and black

  • (B, N): bar height and brown
  • (B, W): bar height and white
  • (B, K): bar height and black

  • (X, N): XL height and brown
  • (X, W): XL height and white
  • (W, K): XL height and black

Explanation:

The <em>sample space </em>is the set of all the possible outputs, i.e. the possible different combinations that can be choosen.

Use the letters T, B, and X to represent, respectively, table height, bar height, and XL height,

Use letters N, W, and K to represent, respectively, the colors brown, white and black.

Each combination consists of a height (T, B or X) and a color (N, W, K); thus, your sample space shall have 3 × 3 different combinations. These are:

  • (T,N): table height and brown
  • (T, W): table height and white
  • (T, K) : table height and black

  • (B, N): bar height and brown
  • (B, W): bar height and white
  • (B, K): bar height and black

  • (X, N): XL height and brown
  • (X, W): XL height and white
  • (W, K): XL height and black
6 0
3 years ago
Read 2 more answers
Other questions:
  • Megan has already saved $18 and she earns $4 per hour working four hours on each Saturday and 3 hours on each Sunday. Rhoni has
    9·1 answer
  • A television costs $350. If a 7% sales tax is added, what is the total cost of the television?
    11·1 answer
  • If the perimeter of a square is 52cm what is the area
    9·1 answer
  • The point A(-1, 4) is translated five units right and three units down. Which rule describes the translation?
    14·1 answer
  • Which time period represents a constant rate of change? A) 0 minutes to 10 minutes B) 5 minutes to 10 minutes C) 5 minutes to 15
    10·2 answers
  • A flagpole is 10 m tall and has a shadow that is 7 m long. At the same time how tall is a nearby building if its shadow is 28m l
    14·1 answer
  • En que consiste la jerarquía de operaciones?
    5·1 answer
  • What’s the answer?!!!!!!
    12·2 answers
  • 19. What are the values of a and bin each right<br> triangle? Explain.
    6·1 answer
  • A right triangle has a leg with a length of 18 and a hypotenuse with a length of 31 yards. Find the length of the other leg (nea
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!