Answer:
its the last choice
Step-by-step explanation:
Some things to know
point slope form: for a line passing through (x1,y1) and the slope is m
y-y1=m(x-x1)
horizontal lines are y=constant
y=mx+b, m is slope and b is y intercept
the slope of the line that passes through the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
1.
y-2=2/3(x-(-3))
y-2=2/3(x+3)
2.
find slope
(-2-3)/(6-(-4))=(-5)/(6+4)=-5/10=-1/2
a point isi (-4,3) and slope is -1/2
y-3=-1/2(x-(-4))
y-3=-1/2(x+4)
3.
yintercept of 2 means (0,2) is a point
find slope between (0,2) and (12,4)
(4-2)/(12-0)=2/12=1/6
a point is (12,4)
y-4=1/6(x-12)
4.
horizontal is y=something
(x,y)
(-2,-9)
we have y=-9
y=-9 is the equaiton
5.
y=-2x+3
y=mx+b
-2 is slope
a point is (-6,2)
y-2=-2(x-(-6))
y-2=-2(x+6)
X>12
simplify both sides, then isolate the variable
Answer:
Step-by-step explanation:
Your answer
62.222 gallons
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1.
The <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So, 2x + 3y = 4 (1)
12x + 3y = 1 (2)
We multiply equation (1) by 2
So, 2x + 3y = 4 (1) × 2
⇒4x + 6y = 8 (3)
Replacing (1) by (3), we have
4x + 6y = 8 (3)
12x + 3y = 1 (2)
So, the <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.
2.
The <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So,
x - 7y = 8 (1)
5x + 4y = 20 (2)
We multiply equation (1) by 3, we have
So, x - 7y = 8 (1) × 3
⇒3x - 21y = 24 (3)
Replacing (1) by (3), we have
3x - 21y = 24 (3)
5x + 4y = 20 (2)
So, the <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.
Learn more about equivalent equations here:
brainly.com/question/2972832
