How do you graph and solve | 5 x + 5 | = 0?

2 Answers
Tony B
Dec 2, 2015

x=(-1)
I have no idea how you would graph this context other than a line parallel to the y-axis that passes through x=-1 ?????

Explanation:

The value on the right is zero. So what is on the left has to have the same value as zero.

So |5x+5| -=0

As far as I can see x can only have 1 value and that is (-1)
This is because |0|=0

and 5xx(-1)+5 = 0

so | 5xx(-1)+5 | =0

Meave60
Dec 2, 2015

x=-1
The graph should be v-shaped.

Explanation:

Solving the equation for x.

abs(5x+5)=0

Remove the absolute value.

5x+5=0

Subtract 5 from both sides.

5x=-5

Divide both sides by 5.

x=(-5)/5

x=-1

Graphing the Equation

abs(5x+5)=0

Since the expression inside the absolute value bars can be positive or negative, and we need to graph it, we need to substitute y for 0 so we can get points to plot on the graph.

abs(5x+5)=y

Now we need to substitute positive and negative values for x and solve for y.

Table of Points
x=-3, y=10
x=-2, y=5
x=-1, y=0
x=0, y=5
x=1, y=10
x=2, y=15
x=3, y=20

Plot the points, then connect the dots. You should have a v-shaped graph.

graph{y=abs(5x+5) [-16.42, 15.6, -2.69, 13.33]}

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