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Andreyy89
2 years ago
5

What is the value of x in this equation

Mathematics
2 answers:
eduard2 years ago
7 0
The the first one the answer should be -4

For the second one the answer should be 3
Damm [24]2 years ago
5 0

Answer: Simplifying

4a + 3(a + 1) = 24

Reorder the terms:

4a + 3(1 + a) = 24

4a + (1 * 3 + a * 3) = 24

4a + (3 + 3a) = 24

Reorder the terms:

3 + 4a + 3a = 24

Combine like terms: 4a + 3a = 7a

3 + 7a = 24

Solving

3 + 7a = 24

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 7a = 24 + -3

Combine like terms: 3 + -3 = 0

0 + 7a = 24 + -3

7a = 24 + -3

Combine like terms: 24 + -3 = 21

7a = 21

Divide each side by '7'.

a = 3

Simplifying

a = 3

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Answer:

The number of liters of 50% antifreeze solution is 50 and the number of liters of 90% antifreeze solution is 150

Step-by-step explanation:

Let

x ----> number of liters of 50% antifreeze solution

y ----> number of liters of 90% antifreeze solution

we know that

50%=50/100=0.50

90%=90/100=0.90

80%=80/100=0.80

x+y=200

x=200-y ------> equation A

0.50x+0.90y=0.8(200) -----> equation B

substitute equation A in equation B and solve for y

0.50(200-y)+0.90y=160

100-0.50y+0.90y=160

0.40y=160-100

0.40y=60

y=150 liters

Find the value of x

x=200-y

x=200-150=50 liters

therefore

The number of liters of 50% antifreeze solution is 50

The number of liters of 90% antifreeze solution is 150

3 0
3 years ago
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3 0
3 years ago
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