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Eva8 [605]
2 years ago
15

6x + 4y=10 12x + y= -29

Mathematics
1 answer:
Olin [163]2 years ago
3 0

Answer: x=-3    y=7.

Step-by-step explanation:

\displaystyle\\\left \{ {{6x+4y=10\ \ \ \ \ (1)} \atop {12x+y=-29\ \ \ \ (2)}} \right.\\  We\  multiply\  both\  sides\  of\  equation\  (1)\  by\  -2:\\\left \{ {{(-2)*6x+(-2)*4y=(-2)*10} \atop {12x+y=-29}} \right. \\\\\left \{ {{-12x-8y=-20} \atop {12x+y=-29}} \right. \\We\  summarize\  equations\  (1)\  and\  (2):\\-7y=-49\\-7*y=-7*7\\Divide\  both\  sides\  of\  the\  equation\  by\  -7:\\y=7.\\We\  substitute\  the\  value\  of\  y\  into \ equation\  (1):\\6x+4*7=10\\6x+28=10\\6x+28-28=10-28\\6x=-18\\6*x=6*(-3)\\Divide\  both\  sides\  of\  the\  equation\  by\  6:\\x=-3.

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What is the value of the y-intercept of the graph of f(x) = e^1-x – 1?
ra1l [238]

Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

5 0
3 years ago
The green dots must make up a triangle 1/3 of the original picture PLZ HELP
omeli [17]

Consider Point P to be (0,0) count the grid lines to find the location of points A, B and C

A=. (-6,-3)

B = (-9,6)

C =(3,9)

Now the scale is 1/3. So divide all the points by 3 to get the new location and place the green dots on them:

A’=(-2,-1)

B’ =(-3,2)

C’ =(1,3)

4 0
3 years ago
- 4|7x + 2|=32<br><br> Please help, absolute value!
Nana76 [90]

Answer:

x= 6/7 or x = −10/7

Step-by-step explanation:

Let's solve your equation step-by-step.

4(|7x+2|)=32

Step 1: Divide both sides by 4.

4(|7x+2|)/4 =32/4

|7x+2|=8

Step 2: Solve Absolute Value.

|7x+2|=8

We know either 7x+2=8 or 7x+2=−8

7x+2=8 (Possibility 1)

7x+2−2=8−2 (Subtract 2 from both sides)

7x/7 = 6/7

(Divide both sides by 7)

7x/7= 6/7

x= 6/7

7x+2=−8 (Possibility 2)

7x+2−2=−8−2 (Subtract 2 from both sides)

7x/7 = −10/7

(Divide both sides by 7)

x= −10/7

Answer:

x= 6/7 or x = −10/7

3 0
3 years ago
What is the answer to the question?​
Free_Kalibri [48]

Answer:

x = 10

Step-by-step explanation:

Since the two triangles are congruent, ∠B ≅ ∠E

50 = 5x

x = 10

4 0
3 years ago
Read 2 more answers
Will give brainliest!!
77julia77 [94]

Answer: They can buy 16 coats.

Step-by-step explanation:

All you have to do is divide $740 by $46.25 and you will get 16 which will be your final answer.

4 0
3 years ago
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