Simplify (3x-5)+(5x+1)

Mathematics

2 answers:

Semenov [28]3 years ago

8 0

Group the common terms together

3x + 5x - 5 + 1

then add or subtract them

8x - 4

Soloha48 [4]3 years ago

4 0

Here is a step by step solution to your problem

3x − 5 + 5x + 1

=3x + −5+5x + 1

Combine Like Terms:

=3x + −5 + 5x + 1

=(3x + 5x) + (−5 + 1)

=8x + −4

Answer:
=8x − 4

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

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1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1 }{x_2-x_1}$ and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:

$m = \frac{4-0}{5-0} \\m = \frac{4}{5}$

So, the slope is $\frac{4}{5}$ .

2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.

3) Now, write the equation of the line in slope-intercept form using the $y = mx + b$ format. The number in place of $m$ represents the slope, so substitute $\frac{4}{5}$ in its place. The number in place of $b$ represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation: