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amm1812
3 years ago
11

Solve the system: 10x-9y=8 21y+15x=0.5

Mathematics
1 answer:
artcher [175]3 years ago
3 0

Answer:

x = 1/2 y = -1/3

Step-by-step explanation:

Split it into 2 equations:

10x-9y=8

and

21y+15x=0.5

10x - 9y = 8

Step 1: Divide both sides by 10:

x = (8+9y)/(10)

Substitute x = (8+9y)/(10) into 21y+15x=0.5 :

21y + (3(8+9))/(2) = 0.5

Solve for y

<u>y= -1/3</u>

Substitute y= -1/3 into x = (8+9y)/(10)

<u>x = 1/2</u>

<u />

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m_a_m_a [10]

Total 36 outcomes are possible on rolling two dices simultaneously

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8 0
2 years ago
Solve -5 + w/3 = -1.
Liula [17]

Answer:

w = 12

Step-by-step explanation:

-5 + w/3 = -1

w/3 = 4 (Add 5 to both sides)

w = 12 (Multiply 3 by both sides)

3 0
4 years ago
5u^2 + 6 = -13u please help
Komok [63]

Answer:

u = -2, -3/5

General Formulas and Concepts:

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Factoring
  • Finding roots

Step-by-step explanation:

<u>Step 1: Define equation</u>

5u² + 6 = -13u

<u>Step 2: Solve for </u><em><u>u</u></em>

  1. Rewrite:                    5u² + 13u + 6 = 0
  2. Factor:                      (u + 2)(5u + 3) = 0
  3. Find roots:                u = -2, -3/5
5 0
3 years ago
Please Help with math word problem.
motikmotik

Answer:

Adult Tickets: 173

Student Tickets: 43

Explanation:

  • To solve this problem, you'll need to set up a system of equations.
  • Assume a = # of adult tickets sold
  • Assume s = # of student tickets sold

2: a + s = 216; 1: 10.25a+ 8s= 2117.25

2: <<As the total number of tickets sold from both sides is equal to 216>>

1: <<Each adults ticket (a) costs $10.25 and each student ticket (s) costs $8, and the total amount of money earned (2117.25) from sales is the combination of these two))>>

  • Note that there are two ways to solve systems of equations (by elimnation and substitution), in this case I'll use elimnation as substitution requires one of the variables in one of the two equations to be isolated.

  • In this case, I'll elimnate a.

a + s = 216

10.25a + 8s = 2117.25

  • In order to elimnate a, it has to be equal to - 10.25 so that it cancels out + 10.25 (so you have to multiply everything on the first equation by 10.25 ((what you do to one part, you'll do to all the other parts)).

-10.25a -10.25s = -2214

10.25a + 8s = 2117.25

  • a cancels, and now you solve accordingly.

-2.25s/-2.25 = -96.75/-2.25

s = 43

  • You could solve for a using this same method, but it's easier to use the first formula <<a+s=216>> to find a.

a + 43 = 216

- 43 -43

a = 173

4 0
3 years ago
What is the slope-intercept from of the equation y+18=2(x-1)
7nadin3 [17]

Answer:

y = 2x - 20

Step-by-step explanation:

Simplfy 2 (x-1)

y + 18= 2x - 2

move all terms contain "y" to the left side

y = 2x - 20

4 0
4 years ago
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