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3 years ago

Explain the difference between evaluating an expression and solving an equation. Use examples to support your explanation.

Mathematics

1 answer:

oee [108]3 years ago

6 0

Answer:

<h3>Evaluating an expression</h3>

Unlike an equation, expression does not have an equal sign.

Example

(x² - 4²) / (x + 2)

So, by evaluating an expression it means to simplify the expression. Let's take a look at the example again

(x² - 4²)

= (x + 2)(x - 2) / (x + 2)

= (x - 2)

<h3>Solving an equation</h3>

Solving an equation involves finding an unknown value given in the equation. It contains an equal to sign (=) so, it result in a solution.

Example

(x² - 4²) / (x + 2) = 0

(x + 2)(x - 2) / (x + 2) = 0

(x - 2) = 0

x = 2

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2 years ago

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Naily [24]

Answer:

$y-2=\displaystyle-\frac{6}{7}(x-1)$

$y=\displaystyle-\frac{6}{7}x+\frac{20}{7}$

Step-by-step explanation:

Hi there!

Point-slope form: $y-y_1=m(x-x_1)$ where <em>m</em> is the slope and $(x_1,y_1)$ is a point that falls on the line

Plug in the slope, -6/7, and the given point, (1,2):

$y-2=\displaystyle-\frac{6}{7}(x-1)$

To write the equation in slope-intercept form, isolate y:

$y-2=\displaystyle-\frac{6}{7}(x-1)\\\\y-2=\displaystyle-\frac{6}{7}x+\frac{6}{7}\\\\y=\displaystyle-\frac{6}{7}x+\frac{6}{7}+2\\\\y=\displaystyle-\frac{6}{7}x+\frac{20}{7}$

I hope this helps!

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3 years ago

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Answer:

Y= 40

Step-by-step explanation:

I know the y equals 40 because I used

$a {}^{2} + b {}^{2} = c {}^{2}$

But for z and x I got stuck, so I hope I helped you a little to move forward with this problem.

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