How many solutions do the systems of equations have?y =-1/3 x + 9y =- 2/6x
1. How many solutions do the systems of equations have?y =-1/3 x + 9y =- 2/6x
SISTEM PERSAMAAN LINEAR
Hanya 1 solusi, karena tidak ada fungsi kuadrat atau parabola, hanya ada garis/linear
yaitu :
y = -⅓x + 9
y = -⅓x
Tapi untuk garis yang seperti ini, tidak ada solusi karena memiliki gradien yang sama yaitu -⅓, tidak ada solusi yang memenuhi bahkan solusi imajiner. Pembuktiannya :
y = -⅓x + 9
y = -⅓x
_________-
0 = 9
dan kita tahu bahwa 9 ≠ 0 maka sistem linear tsb tidak memiliki solusi
PembahasanNomor 1[tex] \sf y = - \frac{1}{3} x + 9 [/tex]
mencari nilai x
[tex] \sf y = - \frac{1}{3} x + 9 \\ \sf (0) = - \frac{1}{3} x + 9 \\ \sf \frac{1}{3} x = 9 \\ \sf x = 9 \times 3 \\ \sf x = 27 [/tex]
mencari nilai y
[tex] \sf y = - \frac{1}{3} x + 9 \\ \sf y = - \frac{1}{3}(0) + 9 \\ \sf y = 0 + 9 \\ \sf y = 9 [/tex]
Nomor 2[tex] \sf y = - \frac{2}{6} x= - \frac{1}{3} x [/tex]
mencari nilaix
[tex] \sf y = - \frac{1}{3} x \\ \sf (0) = - \frac{1}{2} x \\ \sf x = - 2 [/tex]
mencari nilai y
[tex]\sf y = - \frac{1}{3} x \\ \sf y = - \frac{1}{3} (0) \\ \sf y = 0[/tex]
2. 3x + 4y = -22y - x = -19 what is the solutions ( x , y ) to the system of equations above?
Jawab:
(x,y)=(3,-8)
Penjelasan dengan langkah-langkah:
Consider the equations
3x + 4y=-23….(1) and 2y - x =-19….(2)
3*(2)=> 6y - 3x = -57
(1) => 4y + 3x =-23
Adding the above equations we get
(6y - 3x) + (4y + 3x)=-57–23
10y = -80
y=-80/10
y= -8
Put the value of y in equation (2) we get
2(-8)-x =-19
-16 - x =-19
-x =-19+16
-x =-3
x= 3
So the solution is (x,y)=(3,-8)
========================================may be usefulglad to help youkeep the spirit[tex]by:asya291006[/tex]
3. Directions: Find the solutions of each of the following quadratic equations by completing the square.1. x² - 2x = 32. s² + 4s - 21 = 03. r² - 10r = -17Pls help.
Jawaban:
1. x={-1, 3}
2. s={-3, 7}
3. r={5 - 2√2, 5 + 2√2}
Penjelasan dengan langkah-langkah:
1. x² - 2x=3
x² - 2x + 1=3 + 1
(x - 1)²=4
x - 1=√4
x - 1=±2
x1:
x - 1=2
x=3
x2:
x - 1=-2
x=-1
2. s² + 4s - 21=0
s² + 4s=21
s² + 4s + 4=21+4
(s + 2)²=25
s + 2=√25
s + 2=±5
s1:
s + 2=5
s=3
s2:
s + 2=-5
s=-7
3. r² - 10r=-17
r² - 10r + 25=-17 + 25
(r - 5)²=8
r - 5=√8
r - 5=±2√2
r1:
r - 5=2√2
r=5 + 2√2
r2:
r - 5=-2√2
r=5 - 2√2
hope that helps :D
4. solve each of the equations (6h+5)(h-1)= -3
(6h+5)(h-1)=-3
6h2-6h+5h-5=-3
6h2-h-5+3=0
6h2-h-2=0
(3h-2)(2h+1)
3h-2=0
3h=2
h=2/3
2h+1=0
2h=-1
h=-1/2
it means h1=2/3, h2=-1/2 maybe wkwk
5. how many grams of NaC1 required to prepare each of the following solutions2500 ppm (w/v) NaC1 250 mL solutions
Penjelasan:
Formula : m NaCl (in Molar) = n ppm × mL
= 2500 ppm = masses of Salt / mL
= masses of Salt (µg) = 2500 ppm × mL
= massea of salt (µg) = 2500 ppm × 250 mL
= masses of salt (µg) = 625 µg or in mg = 625 µg × 10^-4 = 0,0625 grams
6. 20. The number of integer solutions x and y satisfying x + y = 7 is ....
Jawaban:
0+7
1+6
2 +5
3+4
4+3
5+2
7+0
7. the number of integer solutions x and y satisfying x^2+y^2=7 is....
tidak ada karena bilangan kuadrat jika dibagi 4 sisa 0 atau 1. jadi jumlah 2 kuadrat selalu sisa 0,1,2 jika dibagi 4. tapi 7 bagi 4 sisa 3
8. Use the substitution method to solve the following pairs of simultaneous linear equations A)5X + 2y = -1 X - 3y = -7
~SPLDV
5x + 2y = -1 .......... 1)
x - 3y = -7 → x = 3y - 7 ...... 2)
Substitute The sec . Eq to The First Eq :
5x + 2y = -1
15y - 35 + 2y = -1
17y = 34
y = 2
With the same way , substitute the Value of 'y' to the sec . eq :
so we get ...
x = 3y - 7
x = -1
SC = {-1 , 2}
9. The sum of a rational and irrational number is(a) rational(b) irrational(c) both of above(d) none of above
jawaban nya ada lah b. irrational
Pembahasan:
semoga bisamembantu
10. TOLONG BANTU JAWAB!! what kind of number is -8?a.natural, integer, rational, realb. integer, rational, realc. natural, whole, integer, rational, reald. integer, real
Jawaban:
b. integer rational real
11. Finding expressions and responses of congratulation
Penjelasan:
gambar di atas itu menceritakan tentang Lina selamat karena kamu sendiri sudah menjuarai lomba bercerita
12. solve the simultaneuos equations .. 3×+5y=1 dan 2×-3y=7jawaban
Penjelasan dengan langkah-langkah:
jawaban dan caranya terlampir ....
13. Roots of the equations x^2 – 3x + 2 = 0 are …
Penjelasan dengan langkah-langkah:
Maaf ya kalau salah nama nya juga manusia pasti punya kesalahan
14. the number of integer solutions x and y satisfying x^2+y^2=7 is .....
i dont under stand what u mean lol
15. 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
16. make x the subject of the equationsa(x+1)=b(x+2)
[tex]\begin{align} a(x+1) &= b(x+2) \\ ax+a &= bx+2b \\ ax-bx &= 2b-a \\ x(a-b) &= 2b-a \\ x &= \frac{2b-a}{a-b} \end{align}[/tex]
a(x+1) = b(x+2)ax + a = bx + 2b
ax - bx = 2b - a
x(a - b) = 2b - a
x = 2b-a/a-b
hope this helps^^
17. the derivative of a rational function is a rational function. Apakah pernyataan tersebut benar atau tidak,dan beri alasan
Remember that a rational function h(x)h(x) can be expressed in such a way that h(x)=\frac{f(x)}{g(x)},h(x)=
g(x)
f(x)
, where f(x)f(x) and g(x)g(x) are polynomial functions. Using this basic fundamental, we can find the derivatives of rational functions.
18. 1. How many grams of NaCl required to prepare each of the following solutions:
Penjelasan:
Sorry sir, where is the question and the answer choices?
19. Finding expressions and responses of congratulation
Jawaban:
Expressions congratulations: Congratulations Lina!
Responses congratulations : Thank you siti,udin for your support
20. 5. The solutions of |6-3x| = 2x + 7 is
Penjelasan dengan langkah-langkah:
good luck with the answer.
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