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olganol [36]
3 years ago
8

How to solve #4 using substitution/ elimination method

Mathematics
1 answer:
kolezko [41]3 years ago
3 0
3x+y = 4
  x+y=  2 multiply all the elements of (x+y) by -1 & then add it up to the 1st equation
3x+y=4
-x-y =-2
----------
2x+0y =2 ==> x=2/2 =1 & replace x=1 by its value in any of the equation & you will get the value of y=1

2) 3x+y = 7
x+2y = 4
Follow the same methodology as before, but to eliminate y, multiply the 1st equation by (-2) and you will get x=2 & y=1


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It should be 0.88 or 0.84
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Eliana owns the Blossom garden shop. To keep her plants healthy, she always adds 3 cups of fertilizer for every 8 cups of soil.
Nataly [62]

Answer: Eliana should add 9 cups of fertilizer to the pot.

Step-by-step explanation:

Given , Eliana always adds 3 cups of fertilizer for every 8 cups of soil. .

As the quantity of fertilizer is proportional to the quantity of soil.

That means,

\dfrac{\text{Number of cups of fertilizer for 24 cups of soil}}{\text{24}}=\dfrac{\text{Number of cups of fertilizer for 8 cups of soil}}{8}\\\\\Rightarrow \dfrac{\text{Number of cups of fertilizer for 24 cups of soil}}{24}=\dfrac{3}{8}

Multiply 24 on both sides , we get

\Rightarrow\ \text{Number of cups of fertilizer for 24 cups of soil}=\dfrac{3}{8}\times24=3\times3=9

Hence, Eliana should add 9 cups of fertilizer to the pot.

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4 years ago
374,000 in standard form
Crazy boy [7]
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3 years ago
Y/3 + 8 = -2 solve for y<br> a. -30<br> b. -18<br> c. 18<br> d. 30
Rainbow [258]

Answer:

\large\boxed{a.\ -30}

Step-by-step explanation:

\dfrac{y}{3}+8=-2\qquad\text{subtract 8 from both sides}\\\\\dfrac{y}{3}+8-8=-2-8\\\\\dfrac{y}{3}=-10\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{y}{3\!\!\!\!\diagup_1}=(3)(-10)\\\\y=-30

5 0
3 years ago
Write equation of the line containing (4,2) and (3,5)<br> in slope-intercept form.
11Alexandr11 [23.1K]

Answer:

The equation of the line containing (4,2) and (3,5)  in the slope-intercept form will be:

  • y=-3x+14

Step-by-step explanation:

Given the points

  • (4, 2)
  • (3, 5)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(4,\:2\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-2}{3-4}

m=-3

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b

y=mx+b

2=(-3)4 + b

2 = -12 + b

b = 2+12

b = 14

Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.

y=mx+b

y=(-3)x+(14)

y=-3x+14

Thus, the equation of the line containing (4,2) and (3,5)  in the slope-intercept form will be:

  • y=-3x+14

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