All categories

2 years ago

Elimination method 10x-4y=-8 -5x+6y=10

1 answer:

4 0

Eliminate the x terms: Multiply the second equation by 2
-10x+12y=20

Add it to the first equation
10x-4y=-8
-10x+12y=20
——————-
0x+8y=12

y = 1.5

10x-4(1.5)=-8
10x = -2
x = -1/5

You might be interested in

Factor. 4x^2 - 20xy + 25y^2

miss Akunina [59]

Answer:

(2x-5y)^2

Step-by-step explanation:

4x^2 - 20xy + 25y^2=

(2x) ^2 - 2(2x)(5y)+(5y)^2 =(*)

(2x-5y)^2

(*) A^2 - 2AB+B^2 =(A-B)^2

5 0

2 years ago

I need to give you my math numbers and then solve the step by step

Alchen [17]

Answer:

tell me

Step-by-step explanation:

7 0

3 years ago

Solve for the value of x.

alexandr402 [8]

Answer:

x = 15

Step-by-step explanation:

Similar triangles and proportional side lengths.

10/4 = x/6

5/2 = x/6

2x = 5 * 6

2x = 30

x = 15

8 0

3 years ago

A lot of 100 semiconductor chips contains 15 that are defective. three chips are selected at random from the lot without replace

Alex787 [66]

D=event that chip selected is defective
d=event that chip selected is NOT defective

Four possible scenarios for the first two selections:
P(DDD)=15/100*14/99*13/98=13/4620
P(DdD)=15/100*85/99*14/98=17/924
P(dDD)=85/100*15/99*14/99=17/924
P(ddD)=85/100*84/99*15/98=17/154

Probability of third selection being defective is the sum of all cases,
P(XXD)=P(DDD)+P(DdD)+P(dDD)+P(ddD)
=3/20

5 0

3 years ago

What is the slope / rate of change for 2, 5 and -3, 7

Nady [450]

Answer:

$\displaystyle m=\frac{-2}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS 

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (2, 5)

Point (-3, 7)

Step 2: Identify

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{7-5}{-3-2}$
[Slope] [Fraction] Subtract: $\displaystyle m=\frac{2}{-5}$
[Slope] [Fraction] Rewrite: $\displaystyle m=\frac{-2}{5}$

4 0

2 years ago