All categories

3 years ago

Solve by the matrix method , x+y/5 -1=y-x

Mathematics

1 answer:

PIT_PIT [208]3 years ago

6 0

10x - 4y = 5 (if it requires shorten)

Step-by-step explanation:

x + y/5 - 1 = y - x

<=> (5x + y - 1.5)/5 = 5(y - x)/5

<=> 5x + y - 5 = 5y - 5x

<=> 5x + 5x + y - 5y = 5

<=> 10x - 4y = 5

You might be interested in

Given that f(x) = x^3 + 2x^2 + 1, g(x) = −x^3 −x^2 −4x+ 4, h(x) = f(x) +g(x), and h(x) = 1, what is the value of x?

Studentka2010 [4]

Answer:

x = 2

Step-by-step explanation:

h(x) = f(x) + g(x) = x³ + 2x² + 1 - x³ - x² - 4x + 4 ← collect like terms, thus

h(x) = f(x) + g(x) = x² - 4x + 5

Given

h(x) = 1, then

x² - 4x + 5 = 1 ( subtract 1 from both sides )

x² - 4x + 4 = 0 ← in standard form

(x - 2)² = 0 ← in factored form ( perfect square ), thus

x - 2 = 0 ⇒ x = 2

7 0

3 years ago

Divide 25 square root 1658 to find the quotient, start by dividing _____ into _____.

Oliga [24]

Answer:

25/√1658

Step-by-step explanation:

To do that division, you just need to do that simple division. However, let me tell you that the way to do that division, is rationalizating the dividend. This is because in a division, they cannot be any kind of square root. So the mechanical procedure to this is the following:

Start dividing:

25 / √1658

Now, rationalize:

25 / √1658 * √1658 / √1658

This step is to eliminate the square root from the dividend. Then:

25 * √1658 / 1658

Now when you do the math, you should get an accurate result.

4 0

3 years ago

Solve using the Quadratic Formula 5x2-3x-7=0 A) B) C) D)

vlabodo [156]

Answer:

C) $\displaystyle x=\frac{3 \pm \sqrt{149}}{10}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

Step-by-step explanation:

Step 1: Define

Identify

5x² - 3x - 7 = 0

↓

a = 5, b = -3, c = -7

Step 2: Solve for x

Substitute in variables [Quadratic Formula]: $\displaystyle x=\frac{3 \pm \sqrt{(-3)^2-4(5)(-7)}}{2(5)}$
[√Radical] Evaluate exponents: $\displaystyle x=\frac{3 \pm \sqrt{9-4(5)(-7)}}{2(5)}$
[√Radical] Multiply: $\displaystyle x=\frac{3 \pm \sqrt{9+140}}{2(5)}$
[√Radical] Add: $\displaystyle x=\frac{3 \pm \sqrt{149}}{2(5)}$
[Fraction] Multiply: $\displaystyle x=\frac{3 \pm \sqrt{149}}{10}$