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noname [10]
2 years ago
6

What is the solution to the following system of equations?

Mathematics
2 answers:
jeyben [28]2 years ago
7 0

Answer:

x = 6 , y= -2

Step-by-step explanation:

=1 ( 2x + 3y =6)

2( x+y=4)

2x+3y =6 (1)

2x+2y = 8 (2)

by eq 1 and 2 using elimination method

y = -2

putting y in eq 2

2x + 2(-2)=8

2x -4 =8

2x =8+4

2x=12

x= 6

liraira [26]2 years ago
6 0

Answer:

x = 6 ,  y = -2

Step-by-step explanation:

2 x + 3 y = 6  (Equation 1)

x + y = 4        (Equation 2)

<u>Solving by substitution</u> :

(Equation 2) ⇒ y = 4 - x

<u>Substitute y by 4 - x in (equation 1)</u> :

2 x + 3 (4 - x) = 6

Then

2 x + 12 - 3x = 6

Then

12 - x = 6

Then

12 - 6 = x

Then

x = 6

<u>We obtain</u> :

y = 4 - x and x = 6

Then

y = 4 - 6

  = -2

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5. Keisha makes $ 135 selling items at a concession stand. She sold an equal number of T-shirts and keychains. The T-shirt costs
exis [7]

Answer:

$108

Step-by-step explanation:

Let n be the cost of a keychain, then the cost of a T-Shirt would be 4n. We can use this to set up an equation...

4n+n=135

Combine like terms

5n=135

Divide both sides by 5

n=27

Now we need to find how much she made from selling T-Shirts...

4n=4(27)=$108

8 0
2 years ago
A water gauge in a pond measured 2358 in. At the beginning of the week. After five days of rain, the gauge read 3414 in. By how
V125BC [204]

Answer:

1056 inches

Step-by-step explanation:

Given that :

Initial measurement = 2358 in

Guage level after 5 days of rain (final reading) = 3414 in

Change in water level rise :

Final reading - Initial reading

(3414 - 2358) in

= 1056 inches

3 0
3 years ago
The cost in dollars y of producing x computer desks is given by y=80x+6000
Gnoma [55]

Answer:

(100,14000), (200, 22000), (300, 30000)

Step-by-step explanation:

y = 80x + 6000 ........ (1) is the equation which gives the cost (y) in dollars for making x number of computer desks.

Let, f(x) = 80x + 6000

So, f(100) = 80 × 100 + 6000 = 14000 {From equation (1)}

So, to produce 100 desks it costs $14000.

Again, f(200) = 80 × 200 + 6000 = 22000 {From equation (1)}

So, to produce 200 desks it costs $22000.

Again, f(300) = 80 × 300 + 6000 = 30000 {From equation (1)}

So, to produce 300 desks it costs $30000.

Then table will be (100,14000), (200, 22000), (300, 30000) (Answer)

5 0
3 years ago
What is 8% of 8393.....
svlad2 [7]
The answer to this question is:

671.44
7 0
3 years ago
Read 2 more answers
What is the value of x in the equation -6x = 5x+ 22?<br> -22<br> 0 -2<br> 02<br> O 22
Ivahew [28]

Answer:

x = -2

Step-by-step explanation:

Solve  -6x = 5x + 22

add 6x to both sides

0 = 6x + 5x + 22

0 = 11x + 22

11x = -22

x = -22/11

x = -2

3 0
3 years ago
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