Answer:
Elimination
Step-by-step explanation:
The following system of equations can be easily solved by elimination as we can simply eliminate x-term.
Substitution will take a lot of time because you need to move to make either x-term or y-term as the subject then substitute in.
Graphing Method — You need to find the intercepts of both equations. You also have to convert into slope-intercept form which takes a lot of time.
Step-by-step explanation:
x+3y=-4(eqn1)
x=-4-3y
from (eqn 2)
2(-4-3y)+6y=5
-8-6y+6y=5
y=5+8=13.
y=13
from eqn 1
x+3(13)=-4
x+39=-4
x=-4-39
x=-43.
Answer:
y = -1/3x + 5/3
Step-by-step explanation:
First solve the equation. Simply put it is y = -1/3x + 5/9.
So, we have our slope which is -1/3. Now just plug it in.
y - y1 = m(x - x1)
y - 2 = -1/3(x - (-1))
Distribute.
y - 2 = -1/3x - 1/3
Add 2 to both sides
you get y=-1/3x + 5/3
Answer:
The smaller Number = 15
The larger number = 67
Step-by-step explanation:
Let
The smaller number = x
The larger number = 5x - 8
The sum = 82
(5x - 8) + x = 82
5x - 8 + x = 82
6x - 8 = 82
Add eight to both sides
6x - 8 + 8 = 82 + 8
6x = 90
Divide both sides by 6
x = 90/6
= 15
Therefore,
The smaller number = x = 15
The larger number = 5x - 8
= 5(15) - 8
= 75 - 8
= 67
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