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3 years ago

Solve this equation: - 2x+4= -6x - 17

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

3 0

Answer:

x = $-\frac{21}{4}$

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 17 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

- 2x + 4 = -6x - 17

→ Add - 6x to both sides to bring all the 'x' coefficients to one side

4x + 4 = -17

→ Minus 4 from both sides to bring all the integers to the other side

4x = -21

→ Divide both sides by 4 to isolate x

x = $-\frac{21}{4}$

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Answer:

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Step-by-step explanation:

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3 years ago

A line is parallel to y= 4x-2 and intersects the point (5,-11). what is the equation of this parallel line?

mina [271]

The equation of line parallel to given line is: y=4x-31

Step-by-step explanation:

Given equation of line is:

The equation of line is in slope-intercept form so the co-efficient of x is the slope of the line.

Let m1 be the slope of the given line

then

m1 = 4

Let m2 be the line that is parallel to given line

As we know that the slopes of parallel lines is equal so

m1=m2 = 4

The slope-intercept form of equation of line is:

Putting the value of slope

to find the value of b, putting (5,-11) in the equation

Putting the value of b

Hence,

The equation of line parallel to given line is: y=4x-31

Keywords: Equation of line, slope

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Read 2 more answers

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