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3 years ago

How do you solve linear equations for algebra 2

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

3 0

Short Answer: Solve for the variable (may be x, y, a, etc.) .

Long Answer + Explanation + Example:

Simplify each side of the equation
Distribute values (if needed)
Use addition, subtraction, multiplication, or division
Solve for the variable
Check your answer by inputting the variable into the equation

Example:

$5(x-1)=2(x-4)-6\\5x-5=2x-8-6\\5x-5=2x-14\\5x=2x-9\\3x=-9\\x=-3$

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What is vaule of y when x=4'5

Degger [83]

Answer:

$y = 2.096$ or $y = \frac{2\sqrt5+6}{5}}$

Step-by-step explanation:

Given

$y = \frac{4}{x} + \sqrt x + 0.2 - 5x$

$x = \frac{4}{5}$

Required

Find y

$y = \frac{4}{x} + \sqrt x + 0.2 - 5x$

Substitute $x = \frac{4}{5}$

$y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5$

$y = 5 + \sqrt{4/5} + 0.2 - 4$

Collect like terms

$y = \sqrt{4/5} + 5 + 0.2 - 4$

$y = \sqrt{\frac{4}{5}} + 1.2$

Split the surd

$y = \frac{\sqrt4}{\sqrt5}} + 1.2$

$y = \frac{2}{\sqrt5}} + 1.2$

Rationalize

$y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2$

$y = \frac{2\sqrt5}{5}} + 1.2$

Take LCM and add

$y = \frac{2\sqrt5+1.2*5}{5}}$

$y = \frac{2\sqrt5+6}{5}}$

or solve as:

$y = \frac{2*2.24+6}{5}}$

$y = \frac{10.48}{5}$

$y = 2.096$

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