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Liula [17]
3 years ago
7

Solve the system below using an appropriate method.

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0
Using substitution:
4x+2y=12
y=8x+1

4x+2(8x+1)=12

distribute
4x+16x+2=12

combine like terms
18x+2=12

subtract 2 from both sides
20x=10

divide each side by 20
x=10/20

reduce
x=1/2

plug in x for the y= equation
y=8(1/2)+1

multiply
y=4+1

add
y=5

answer:
(1/2,5)
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How do you solve the system 3x-y z=5, x 3y 3z=-6, and x 4y-2x=12?
dlinn [17]
3x - y + z = 5 . . . (1)
x + 3y + 3z = -6 . . . (2)
x + 4y - 2z = 12 . . . (3)

From (2), x = -6 - 3y - 3z . . . (4)
Substituting for x in (1) and (3) gives
3(-6 - 3y - 3z) - y + z = 5 => -18 - 9y - 9z - y + z = 5 => -10y - 8z = 23 . .  (5)
-6 - 3y - 3z + 4y - 2z = 12 => y - 5z = 18 . . . (6)

(6) x 10 => 10y - 50z = 180 . . . (7)
(5) + (7) => -58z = 203
z = 203/-58 = -3.5

From (6), y - 5(-3.5) = 18 => y = 18 - 17.5 = 0.5
From (4), x = -6 - 3(0.5) - 3(-3.5) = -6 - 1.5 + 10.5 = 3

x = 3, y = 0.5, z = -3.5
8 0
4 years ago
To find the quotient of 4 ÷ 1 8 , count the number of in four whole circles.
SSSSS [86.1K]

Answer:

what are u asking ?? I'm confused

5 0
3 years ago
Read 2 more answers
682 rounded to the nearest hundred
defon
700, because 8 is 5 and up so it'll be rounded up.
4 0
3 years ago
Read 2 more answers
5tanx-2cotx+1=0...... .
Verdich [7]

Step-by-step explanation:

5(tanx)^2 -2 +tanx=0

let tanx=y

5y^2 + y-2=0

y=0.5403 or y= -0.7403

tanx=0.5403

x=arctan(0.5403)

x=28.38°

or

tanx=-0.7403

x=arctan(-0.7403)

x=143.49°

7 0
3 years ago
What will be the next in the series 2,60,10,120,30,?
grandymaker [24]
2 to 60 is 58 -48 is 10 
so you have think what sort of maths skills are used like it could n+58 -48 then square or something ,but check what the differences are between the numbers.
hope it helped.
8 0
3 years ago
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