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Ivan
3 years ago
12

Write an equation of a line that passes thought he point (-5,2) And is parallel to the line represent by the equation 2x + 5y =

15
Mathematics
1 answer:
notsponge [240]3 years ago
4 0

Answer:

The parallel line would be y = -2/5x + 4

Step-by-step explanation:

In order to find this, we can first note that the new line would have the same slope since parallel lines share slope. To find that, we need to solve the first equation for y =.

2x + 5y = 15

5y = -2x + 15

y = -2/5 + 3

So, with a -2/5 slope, we now can find the intercept by using the point.

y = mx + b

2 = -2/5(-5) + b

2 = -2 + b

4 = b

Now with the slope and intercept found, we can model the equation.

y = -2/5x + 4

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Answer:

x=15

Step-by-step explanation:

The given equation is

-2x+4=-\frac{1}{3}x-21

Here the variable is x and the terms with the variable are -2x \;and\; -\frac{1}{3}x.

Keep all the terms having variable on one side and all the constants terms on the other side as

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Now, simplify the above equation to get the value of x as

-\frac{5}{3}x=-25 \\\\\Rightarrow \frac{5}{3}x=25 \\\\\Rightarrow x=\frac{25\times3}{5} \\\\\Rightarrow x=15  \\\\

In this way, the value of x is 15.

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