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Vesnalui [34]
2 years ago
7

{(4x+2y=6),(-2x+2y=18):} Solve by using the elimination method

Mathematics
1 answer:
Degger [83]2 years ago
4 0

Answer:

\displaystyle [-2, 7]

Step-by-step explanation:

You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:

\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.

{½[4x + 2y = 6]

{−2x + 2y = 18

>> \displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7

Plug this back into the system to get the x-value of \displaystyle -2.

I am joyous to assist you at any time.

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About 1/7 of an iceberg’s total weight is above water. If an iceberg weighs 42 tons, how many tons are above water?
swat32

Answer:

6 tons

Step-by-step explanation:

we need to find what 1/7th of 42 is

so

42/7=6

so 6 tons are above water

hope this helps!

4 0
4 years ago
If 3^2x+1= 3x+5, what is the value of x?<br> 2<br> 3<br> 4<br> 6
REY [17]

Answer:

x = 4

Step-by-step explanation:

Set the exponents equal to each other

3^{2x+1}=3^{x+5}

2x + 1 = x + 5

Subtract x from both sides

x + 1 = 5

Subtract one from both sides

x = 4

So, the value of x is equal to 4.

4 0
3 years ago
In a group of 60 students, 14 students take Algebra I, 20 students take Algebra II, and 7 students take both subjects. How many
storchak [24]
19 don't take
either of these subjects?
6 0
4 years ago
Read 2 more answers
Point V is on line segment \overline{UW}
____ [38]

Answer:

UV=25 units

Step-by-step explanation:

we know that

UW=UV+VW -----> by addition segment postulate

substitute the given values

4x+10=5x+5

solve for x

5x-4x=10-5

x=5

<em>Find the value of UV</em>

UV=5x

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5 0
3 years ago
Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by Start
Kamila [148]

Option B: \frac{1}{(m-4)(m-3)} is the correct answer.

Explanation:

The given expression is \frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}

Simplifying the expression, we have,

\frac{m+3}{m^{2}-16}\times\frac{m+4}{m^2-9}

Factor the equations, m^{2}-16\right and m^{2}-9,we get,

m^{2}-16\right=m^{2}-4^{2}=(m+4)(m-4)

m^{2}-9=m^{2}-3^2=(m+3)(m-3)

Substituting these factored expressions in the above expression, we have,

\frac{m+3}{(m+4)(m-4)}\times\frac{m+4}{(m+3)(m-3)}

Cancelling the common terms m+3 and m+4 , we get,

\frac{1}{(m-4)(m-3)}

Thus, the expression equivalent to \frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )} is \frac{1}{(m-4)(m-3)}

Hence, Option B is the correct answer.

3 0
3 years ago
Read 2 more answers
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