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Leno4ka [110]
4 years ago
14

Solve this equation using elimination: 4x-y=8;6x+y=2

Mathematics
1 answer:
fomenos4 years ago
7 0
Solve simultaneously.

4x - y = 8
6x + y = 2


Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
~
24x - 6y = 48
24x - 4y = 8

Subtract top from bottom to form one equation.
~
-2y = 40
Therefore y is 20.

Put y back in to an equation, such as 4x - y = 8.
~
4x - 20 = 8
4x = 28
x = 7
You might be interested in
What is the slope of the line that passes through (3, 11) and (10, 15)?
antiseptic1488 [7]

Answer:

4/7

Step-by-step explanation:

\frac{y2-y1}{x2-x1} \\\frac{15-11}{10-3} \\\frac{4}{7}

5 0
3 years ago
A parabola can be drawn given a focus of (1, -7) and a directrix of y = 1. Write the
Paha777 [63]

Answer:

Step-by-step explanation:

focus (1 , -7)  ⇒ a = 1  & b = -7

y = 1 ⇒ c = 1

Equation of parabola :

(x - a)² + (y - b)² = (y - c)²

(X - 1)² + (y + 7)² = (y - 1)²

Now, expand.

x² - 2x + 1 + y² + 2*7*y + 7² = y² - 2*y*1 + 1

x² - 2x + 1 + y² - 14y + 49 = y² - 2y +1

x² - 2x + 1 + y² - 14y +  49  - y² + 2y - 1 = 0

x² - 2x  + <u>y² - y²</u>   <u> - 14y + 2y</u>   <u>+ 1 + 49 - 1 </u>= 0

x² - 2x  - 12y + 49 = 0

7 0
3 years ago
Solve this equation by completing the square.<br><br> 3x2 - 4x = -2
Valentin [98]
6-4x=-2
-6. -6
-4x=-8
/-4. /-4
X=2
5 0
4 years ago
2. Peter, Jeff, and John, each perform subtraction incorrectly as follows:
grandymaker [24]

Answer:

peter: subtraction mistake at unit place . wrote 6 in place of 9

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

Step-by-step explanation:

we have to subtract 503 from 269

      9

  4 10 13

    503

   -269

    ____

     234

Solution

since 3 is less than 9 , we take a carry from 0 but 0 cannot be carries so we take 1 carry from 5\

thus

5 becomes 4, 0 becomes 10,

now 10 can be give  1 carry to 3 at unit place, so 3 becomes 13

now 9 is subtracted from 13

13-4 = 9

this is the mistake of Peter

he has written 6 at unit place which should be

peter: subtraction mistake at unit place . wrote 6 in place of 9

____________________________________________________

since , 1 is carried from 10 at tens place, 9 is left at tens place

so we know subtract 6 from 9 at tens place

9-6 = 3

Here mistake is done by Jeff

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

________________________________________________

at hundred place,

one is taken from 5 , hence 4 is left at hundred place

we have to subtract 2 from 4

4-2 = 2

hence,

Here, mistake done by both both Peter and jeff

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

4 0
4 years ago
(1.2,5.1) and has an x-intercept of 3.7
serg [7]
Y=mx+a is the standard linear form. 0=3.7m+a so a=-3.7m
Another point on the line is (3.7,0) by definition of x-intercept.
The slope m=(5.1-0)/(1.2-3.7)=-5.1/2.5=-2.04.
The equation is y=-2.04x+3.7×2.04=-2.04x+7.548.
5 0
3 years ago
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