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viktelen [127]
2 years ago
5

SOLVE EACH SYSTEM USING SUBSTITUTION

Mathematics
1 answer:
NNADVOKAT [17]2 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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Step-by-step explanation:

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Evaluate -8w + 3z when w = 2.2 and z = -9.1.
atroni [7]
-8w+3z
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1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 24. How old is each
Andre45 [30]

Answer:

a) Let Kim's age be k, then Kim's sister's age is k/2

k+\frac{k}{2}=24

b) k+\frac{k}{2}=24

1\frac{1}{2}k=24

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\frac{k}{2}=8

Kim's age is 16 while her sister's age is 8.

5 0
3 years ago
A company is designing a new cylindrical water bottle. The volume of the bottle will be 211 cm^3. The height of the water bottle
Zinaida [17]

Answer:

The correct answer is 2.912 cm.

Step-by-step explanation:

A company is designing a new cylindrical water bottle.

Volume of a cylinder is given by π × r^{2} × h, where h is the height of the cylinder and r is the radius of the cylinder.

The volume of each bottle will be 211 cm^{3}.

The height (h) of the water bottle be 7.9 cm.

Let the radius of the bottle be r cm.

∴ π × r^{2} × h = 211 ; (π = 3.15)

⇒ r^{2} × 24.885 = 211

⇒ r = 2.912

The radius of the water bottle is 2.912 cm.

4 0
3 years ago
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