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3 years ago

5

SOLVE EACH SYSTEM USING SUBSTITUTION

1 answer:

NNADVOKAT [17]3 years ago

3 0

1. since the equations equal each other
2x+19=x+7
-x -x
x+19=7
-19 -19
x= -12
sub into y= x+7
y= -12+7
y= -5

2. x+2y=-7
<span>x+y+23=0
i don't know what the second equation is equal to, i'll assume 0

2y=x-7
y=1/2x-7/2
sub this into x+y+23=0
x+1/2x-7/2+23=0
3/2x+39/2=0
-39/2 -39/2
3/2x= -39/2
x=-39/2 / 3/2
x= -13
sub into y=1/2x-7/2
y=1/2(-13)-7/2
y= -10

3. </span>x+5y=2
<span>x=-4y+5
</span>sub x=-4y+5 into x+5y=2
-4y+5+5y=2
y+5=2
-5 -5
y= -3
sub y =-3 into x =-4y+5
x=-4(-3)+5
x= 17

4. 3x+y=9
<span>y=-5x+9
</span>sub -5x+9 into 3x+y=9
3x+(-5x+9)=9
3x-5x+9=9
-2x+9=9
-9 -9
-2x=0
x=0
sub into y=-5x+9
y=-5(0)+9
y=9

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Suzanne wants to put a fence around her square garden. If the garden covers an area of 49ft^2, how many feet of fencing does she

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Answer:

The area for a square is given by:

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And we can find the dimension for one side like this:

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Replacing we got:

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Step-by-step explanation:

For this case we know that Suzanne want to put a fance around a square garden with an area of 49 ft^2

The area for a square is given by:

$A = x^2$

And we can find the dimension for one side like this:

$x = \sqrt{A}$

Replacing we got:

$x = \sqrt{49 ft^2}= 7ft$

Then since we are interested in the how many feet of fencing does she need, we can find the perimeter given by:

$P = 4x$ and replacing we got:

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Step-by-step explanation:

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