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geniusboy [140]
4 years ago
13

Solve for x 6x + 7y = –2

Mathematics
1 answer:
coldgirl [10]4 years ago
6 0

Answer:

x = -7 over 6y plus -1 over 3

Step-by-step explanation:

Add -7y to both sides.

Divide both sides by 6.

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Help please!posted picture of question
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The region is in the first quadrant, and the axis are continuous lines, then x>=0 and y>=0
The region from x=0 to x=1 is below a dashed line that goes through the points:
P1=(0,2)=(x1,y1)→x1=0, y1=2
P2=(1,3)=(x2,y2)→x2=1, y2=3
We can find the equation of this line using the point-slope equation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-2)/(1-0)
m=1/1
m=1
y-2=1(x-0)
y-2=1(x)
y-2=x
y-2+2=x+2
y=x+2
The region is below this line, and the line is dashed, then the region from x=0 to x=1 is:
y<x+2 (Options A or B)

The region from x=2 to x=4 is below the line that goes through the points:
P2=(1,3)=(x2,y2)→x2=1, y2=3
P3=(4,0)=(x3,y3)→x3=4, y3=0
We can find the equation of this line using the point-slope equation:
y-y3=m(x-x3)
m=(y3-y2)/(x3-x2)
m=(0-3)/(4-1)
m=(-3)/3
m=-1
y-0=-1(x-4)
y=-x+4
The region is below this line, and the line is continuos, then the region from x=1 to x=4 is:
y<=-x+2 (Option B)

Answer: The system of inequalities would produce the region indicated on the graph is Option B

8 0
3 years ago
What is the equation of the line that passes through the point (-3,4) and has a slope of 1?​
yKpoI14uk [10]

Answer:

Y=x + 7

slope = 1, the coefficient of the x term, an implicit one

plug the point y=4, x=-3 into the equation, 4=-3+7 = 4, it passes through the point (-3,4)

Step-by-step explanation:

hope it help

8 0
3 years ago
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