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Bas_tet [7]
3 years ago
11

What is the solution to the system of equations below? y = 1/4x + 2 and 3y = - 3/4x -6

Mathematics
1 answer:
lord [1]3 years ago
7 0

Answer:

<h2>x = -8 and y= 0 → (-8, 0)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=\dfrac{1}{4}x+2&(1)\\3y=-\dfrac{3}{4}x-6&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\3\left(\dfrac{1}{4}x+2\right)=-\dfrac{3}{4}x-6\qquad\text{use the distributive property}\\\\(3)\left(\dfrac{1}{4}x\right)+(3)(2)=-\dfrac{3}{4}x-6\\\\\dfrac{3}{4}x+6=-\dfrac{3}{4}x-6\qquad\text{subtract 6 from both sides}\\\\\dfrac{3}{4}x=-\dfrac{3}{4}x-12\qquad\text{add}\ \dfrac{3}{4}x\ \text{to both sides}\\\\\dfrac{6}{4}x=-12\qquad\text{multiply both sides by 4}\\\\6x=-48\qquad\text{divide both sides by 6}\\\\x=-8

\text{Put the value of x to (1):}\\\\y=\dfrac{1}{4}(-8)+2\\\\y=-2+2\\\\y=0

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7 wholes and one half divided by 1 whole and nine tenths
Deffense [45]

Answer:

3.947

Step-by-step explanation:

7 wholes = 7

one half = 0.5

1 whole = 1

nine tenths = 0.9

7.5/1.9 ≈ 3.947

8 0
3 years ago
What is 3x + 2x simplified
Reptile [31]

Answer:

5x

Step-by-step explanation:

since they are under the same term they can be added to each other

6 0
3 years ago
Read 2 more answers
Help help <br> pls<br> pls<br> pls
Minchanka [31]
82+109=191

125-93=32

163/15=10.9

403
x 585
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——————
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Hope that helps!

5 0
3 years ago
Help please thank you!
Naily [24]

Answer:

b

Step-by-step explanation:

7 0
2 years ago
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. if lucas been ab
coldgirl [10]

The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

<h3>What is simple interest?</h3>

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

I=\dfrac{Prt}{100}

Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).

Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,

P=83.42\times12\\P=1001.04

The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,

I=\dfrac{1001.04\times1.83}{100}\\I=54.06

The total total amount in his bank account after 3 years is,

A=P+I\\A=1001.04+54.06\\A=1055.10

Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

Learn more about the simple interest here;

brainly.com/question/2294792

7 0
2 years ago
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