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Murrr4er [49]
3 years ago
11

How to do I do solving systems of equations by elimination

Mathematics
1 answer:
Andre45 [30]3 years ago
7 0
If you have two equations, you will multiply one of them so it cancels out the other one. For Example, 2x-y=16        3x-y=28You will multiply the second equation by -1 which brings us to 2x-y=16    -3x+y=-28you will add both equations together which will leave you with-x=-12x=12Then, you plug that in. 2x12=24.    24-16=8.    3x12=36     36-8=28    And, You're done!
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3x^2-14x=5<br> Show work too
NemiM [27]

Move all terms to one sides

3x^2 - 14x - 5 = 0

Split the second term in 3x^2 - 14x - 5 into two terms

3x^2 + x - 15x - 5 = 0

Factor out the common terms in the first two terms, then in the last two terms;

x(3x + 1) - 5(3x + 1) = 0

Factor out the common term 3x + 1

(3x + 1)(x - 5) = 0

Solve for x;

<u>x = -1/3, 5</u>

8 0
3 years ago
Which expression is equivalent to <br><img src="https://tex.z-dn.net/?f=%286%20%5Ctimes%20p%29%20%2B%203" id="TexFormula1" title
Anvisha [2.4K]

Answer:

p = -1/2

Step-by-step explanation:

(6 × p) + 3

= 6p + 3

6p = -3

p = -3/6

p = -1/2

4 0
3 years ago
2(4x+3)=2(3x+7)+4x what does x =
drek231 [11]

Answer:

x = -4

Step-by-step explanation:

8 0
2 years ago
What would be your mortgage payment if you pay for a $250,000 home by making a 20% down payment and then taking out a 3.74% thir
Nitella [24]

Answer:

$925.097.                    

Step-by-step explanation:

We  will use EMI formula to answer our problem.

E=P\cdot r\cdot \frac{(1+r)^{n}}{((1+r)^{n}-1)}, where,

E is EMI.

P= Principal loan amount.

r= the rate of interest calculated on monthly basis.

We need to figure out our principal loan amount before using this formula. We are told that we have to pay 20% of $250,000 as down payment, therefore our principal loan amount will be 80% of $250,000.

\text{Principal loan amount}=\frac{80}{100} \times 250,000

\text{Principal loan amount}=0.80 \times 250,000=200000

r=\frac{0.0374}{12} =0.0031166666666667

Now let us use EMI formula to find our mortgage payment.

E=200,000\cdot 0.0031166666666667\cdot \frac{(1+0.0031166666666667)^{(30*12)}}{((1+0.0031166666666667)^{(30*12)}-1)}            

E=623.33333333334\cdot \frac{(1.0031166666666667)^{(360)}}{((1.0031166666666667)^{(360)}-1)}

E=623.33333333334\cdot \frac{3.0656363754770338961}{3.0656363754770338961-1)}

E=623.33333333334\cdot \frac{3.0656363754770338961}{2.0656363754770338961}

E=623.33333333334\cdot 1.4841123112818256882213

E=925.0966740323479\approx 925.097

Therefore, the mortgage payment to cover remaining balance in 30 years will be $925.097 per month.

5 0
3 years ago
For which value(s) of x will the rational expression below be undefined?
zvonat [6]

<em><u>Question:</u></em>

For which value(s) of x will the rational expression below be undefined? Check all that apply.

(x-3)(x+6)/x+7

<em><u>Answer:</u></em>

For x = -7 the rational expression is undefined

<em><u>Solution:</u></em>

<em><u>Given rational expression is:</u></em>

\dfrac{(x-3)(x+6)}{(x+7)}

We have to find the value of x for which the rational expression becomes undefined

A rational expression is undefined when the denominator is equal to zero

Here, the denominator becomes zero when x = -7

Substitute x = -7 in given

\dfrac{(-7-3)(-7+6)}{(-7+7)} = \frac{-10 \times -1}{0} = \frac{10}{0}

Thus for x = -7 the rational expression is undefined

6 0
3 years ago
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