Find the solution of the following linear equations system: 2x+3y=20 and7x+2y=53 *
1. Find the solution of the following linear equations system: 2x+3y=20 and7x+2y=53 *
2x+3y= 20.......(1)
7x+2y= 53.......(2)
we multiply (1) by 2 and (2) by 3,
4x+6y= 40.......(1)
21x+6y= 159......(2)
we substract (1) and (2)
4x-21x= 40-159
-17x= -119
x= 7
we substitute x= 7 to (1)
4(7)+6y= 40
28+6y= 40
6y= 40-28
6y= 12
y= 2
so, the solution is:
x= 7
y= 2
2. If the cnetromere of an X failed to separate at duringmeiotic anaphase, the progeny could be:Jika cnetromere dari X gagal berpisah saat anafase meiotik, keturunannya dapat menjadi:1. XXY, X0, Y0, XXX2. XYY, X0, Y0, XXY3. XXX, X0, X0, YYY4. XXY, X0, Y0, XYY
Jawaban:
Nomor 1. XXY, X0, Y0, XXX
Penjelasan:
Disjungsi pada meiosis terjadi ketika tetrad gagal berpisah saat anafase terjadi, menghasilkan 2 gamet tanpa kromosom dan 2 gamet dengan 2 copy dari kromosom.
Goodluck!
3. find the solution to each of the following system of equations by elimination for example 2x+y=5 and 3x-2y=11
3x-2y=11 |×1
2x+y=5 |×2
⇒3x-2y =11}ini
4x+2y=10}dikurangkan ini
⇒-x=1 ⇔x=-1 dan y = 2x+y=5
2×-1+y =5
-2+y=5
y=7
4. solve the following equations 4x^2=25
4x² = 25
x² = 25/4
x² - 25/4 = 0
(x + 5/2)(x - 5/2) = 0
x + 5/2 = 0
x = -5/2
x - 5/2 = 0
x = 5/2
x = -5/2 and x = 5/2
5. Solve each of the following pairs of simultaneous equations. a) 2x+y= 5 x + y² = 5
Since the question is in English, i'll answer in English too.
2x+y=5 ....(1)
x+y²=5 .....(2)
modified the 2 equation
x+y²=5
x=5-y² .... (3)
subtitute (3) to (1)
2(5-y²)+y=5
10-2y²+y=5
-2y²+y+5=0
2y²-y-5=0
using Quadratic Formula, we get the roots of the quadratic equation are :
-(-1)±√((-1)²-4.2.(-5))/2(2) =
1±√1+40/4 =
1±√41/4 = 1+√41/4 or 1-√41/4
thus, enter each of y value to (1) to get the value of x.
2x+1+√41/4=5
2x=5- (1+√41)/4
2x=19+√41/4
x=19+√41/8
same to the other roots, we get
2x+1-√41/4=5
2x=5-(1-√41)/4
x=19-√41/8
Hence, the solutions are
((19+√41)/8 ; (1+√41)/4) and ((19-√41/8);(1-√41)/4)
Happy to help <3
6. Solve each of the following equations. a. (3x + 2)(4x - 5)
Jawaban:
12x² - 23x + 10
Penjelasan dengan langkah-langkah:
(3x - 2) (4x - 5)
(3x) (4x) - 5 (3x) - 2 (4x) - (2) (-5)
= 12x² - 15x - 8x + 10
= 12x² - 23x + 10
7. The solution to the system of equations 3x-2y=12 and 5x+y=7 is x=p and y =q. The value of 4q+3q is …
Jawaban:
-21
Penjelasan dengan langkah-langkah:
x = p
y = q
solve for x and y
we need to match the x coefficient first, so we can eliminate it and continue.
3x - 2y = 12 (times 5)
5x + y = 7 (times 3)
15x - 10y = 60
15x + 3y = 21
-------------------- (subtract)
-13y = 39
y = 39 ÷ -13
y = -3
then, substitute y with -3 onto one of the equations above.
5x + y = 7
5x - 3 = 7
5x = 7 + 3
5x = 10
x = 2
x = p and y = q
2 = p and -3 = q
the value of 4q + 3q
= 4q + 3q
= 7q
= 7(-3)
= -21
the value of 4q + 3q is -21
8. Calculate the empirical formulae of the following compound.Please give solution
Stoichiometry
Ar Fe = 56
Ar O = 16
Mass of Fe = 11.2 grams
Mass of O = 16.0 - 11.2 = 4.8 grams
Ratio beween mass and Ar
Fe : O = [11.2/56] : [4.8/16]
Fe : O = 0.2 : 0.3
Fe : O = 2 : 3
Empirical formulae is Fe₂O₃
9. Consider the linear equation xy + xy-4y=x² Let y be the general solution of the "reduced" (or complementary") equation xy + xy-4y = 0 and let y, be a particular solution of given differential equation. Show that y + y, is the general solution of DE
Bentuk faktorissasi prima dari FPB bilangan 24,42,dan 56 adalah
10. solve the following equations |2x-3|=3
Jawab:
|2x-3| = 3
2x-3 = 3
2x = 3 + 3
2x = 6
x = 6/2
x = 3
atau
-|2x-3| = 3
-(2x-3) = 3
-2x + 3 = 3
-2x = 3 - 3
-2x = 0
x = 0/-2
x = 0
maaf kalau salah :")
11. find the solution to the system of linear equations x+y=6 dan 2x-y=0
Jawaban:
x+y=6
2x-y=0
_____+
3x =6
x =6/3
x =2
x+y=6
2+y=6
y=6-2
y=4
hp {(x,y)}={(2,4)}
12. using the graphical method, solve each of the following pairs of simultaneous equations: a. 3x-y = 0 2x-y =1
3x-y=0
2x-y=1
Elimination. Subtitution
(3x-y = 0 - 2x-y = 0) 2x-y = 1
= x = -1 = 2(-1)-y = 1
= y = 1 - (- 2)
y = 3
so, x = -1, y = 3
13. Solve the following linear different equations
Jawaban:
Penjelasan dengan langkah-langkah:
check it bro!!!!!!
14. Calculate the value of p and of q that satisfy the following simultaneous equations:2p-3q=134p+q=5
sekiranya begitu, maaf kalau salah
smg bisa membantu ya walau berantakan :)
15. factorise and solve each of the following equations. 10x² - 5x - 5 = 0
Penjelasan dengan langkah-langkah:
penyelesaiannya
x =-1/2 atau x = 1
Jawab:
x = -1/2 atau x = 1
Penjelasan dengan langkah-langkah:
10x² - 5x - 5 = 0 (bagi kedua ruas dengan 5)
2x² - x - 1 = 0
(2x + 1)(x - 1) = 0
maka 2x + 1 = 0 atau x - 1 = 0
Jika 2x + 1 = 0, maka 2x = -1, x = -1/2
Jika x - 1 = 0 maka x = 1
Jadi, x = -1/2 atau x = 1
16. solve the unknown from the following equations:1. D + 19 = 100
D + 19 =100
D = 100-19 = 81
17. If (x,y) is a solution set of the following 2 equations namely xy = 8 and x²y + xy² + x +y = 54, then x² + y² = ______ *
Jawab:
20
Penjelasan dengan langkah-langkah:
18. solve the following equations
Jawab:
Penjelasan dengan langkah-langkah:
19. If x=-11 and y=5 is the solution of the simultaneous equationspx + 5y = q,qx + 7y =p,find the value of p and of q
Penjelasan dengan langkah-langkah:
a. -11p + 25 = q
b. -11q + 35 = p
sub per b ke a
-11 ( -11p + 25) + 35 = p
121p -275 +35 = p
121p -240 = p
120 p = 240
p = 2
maka q =
q = -11(2) + 25
q = 3
20. Solve each of the following equations 2(x+3)=8
Semoga terbantu.....:)Kelas 7 Matematika
Bab Persamaan Linear
2 (x + 3) = 8
x + 3 = 8/2
x = 4 - 3
x = 1
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