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ladessa [460]
3 years ago
15

4x+y=14, 6x-3y=3 is the question​

Mathematics
1 answer:
fomenos3 years ago
8 0

Answer:

if you are being asked what the values of the x and y variables are, x=5/2 and y=4

Step-by-step explanation:

In order to solve this problem you will want to isolate one of the two variables in both equations.

I isolated the y variable in both equations so you have:

4x+y=14, when you isolate the y variable, you will get: y=-4x+14

6x-3y=3, same procedure isolate y: 6x-3=3y, now simplify so you only have y: 2x-1=y.

Now that you have the two equations which a common variable, solve them by making the two equations equal to each other like so:

-4x+14=2x-1, now you want to have all the x variable terms on one side and all the constants on the other, you will add "4x" to each side of the equal sign and then add "1" to each side to leave you with: 15=6x

now divide both sides by 6 to obtain your x value: x=15/6 simplifies to 5/2

then plug your x-value into one of the two equations we made earlier:

y=2x-1

y=2(5/2)-1

y=5-1

y=4

now you have calculated the values of your x and y values

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TUVW is a rhombus. Solve for x
Tpy6a [65]

Answer:

x=17inches

Step-by-step explanation:

we know a rhombus has equal sides so we need to make the equation equal.

2x+16=33+x.

move x to one side and numbers (16) to the opposite side

2x-x=33-16

add them up.

x=17

6 0
3 years ago
Factor completely 2x2 − 50.
Ede4ka [16]

Answer:

(B) 2(x+5)(x−5)

Explanation:

Factor 2x²−50

2(x+5)(x−5)

3 0
3 years ago
Read 2 more answers
If you are given the measurements of three angles of a triangle,
earnstyle [38]

Answer:

  B. They will all be similar

Step-by-step explanation:

You can make as many different size triangles as you like. The angles alone do not constrain the size, only the shape. The triangles you make will all be similar.

6 0
3 years ago
Read 2 more answers
What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0
2 years ago
Solve for the variable c in this equation a(c + b) = d
noname [10]
Multiply everything in the parenthesis by a.

ac + ab = d

Subtract ab from both sides.

ac = d - ab

Divide a on both sides.

c = d - ab / a

Hope this helps!
3 0
3 years ago
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