Answer:
B = no solution
Step-by-step explanation:
y = -5x - 3
-5x - y - 3 = 0
Substitute
-5x - (-5x - 3) - 3 = 0
Distributive Property
-5x + 5x + 3 - 3 = 0
Combine Like terms
0 + 3 - 3 = 0
0 + 0 = 0
0 = 0
This system has no solutions. You don't have a value for x or y
Hope this helped
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Answer:
<-7,-3>
Step-by-step explanation:
To write RS in component form we need to know how far to move over horizontally and then how many to move vertically.
Since horizontal movement is the x values, we subtract the x values of R and S first.
0 - 7 = -7
Since vertical movement is in the y values we subtract those next.
5 - 8 = -3
So written in component form we have <-7,-3>
The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.
For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8
