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2 years ago

What is the value of x in the solution to this system of equations?

Mathematics

1 answer:

liberstina [14]2 years ago

6 0

Answer:

x = 11

Step-by-step explanation:

Given the expression;

5x+2y=67 ...1

x=3y−7 ....2

Substitute 2 into 1

5(3y-7)+2y = 67

15y - 35 + 2y = 67

17y = 67+35

17y = 102

y = 102/17

y =6

Recall that x = 3y - 7

x = 3(6) - 7

x = 18 - 7

x = 11

Hence the value of x is 11

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Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

Svetlanka [38]

Answer:

b = 14

Step-by-step explanation:

Since both angles are diagonal each other, they are equal to each other.

5b = b + 56

-b -b (subtract b from both sides)

4b = 56

4 4 (divide both sides by 4 to solve for b)

b = 14

3 0

2 years ago

How to factor <img src="https://tex.z-dn.net/?f=3x%20-%203" id="TexFormula1" title="3x - 3" alt="3x - 3" align="absmiddle" c

Lena [83]

Take out common factor, 3 :

3x - 3 = 3(x - 1)

------------------------------------
Answer: 3(x - 1)
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6 0

2 years ago

A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose 1/10 degree every 1/4 hour for

klio [65]

Answer:

The rate is $\frac{2}{5}$ degree per hour.

Step-by-step explanation:

Given : A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose $\frac{1}{10}$ degree every $\frac{1}{4}$ hour for a limited time.

To find : What was the rate, in degrees per hour that the temperature of the compound rose ?

Solution :

In every $\frac{1}{4}$ hour the temperature of a compound rose $\frac{1}{10}$ degree

To get the rate, in degrees per hour,

In every 1 hour the temperature of a compound rose is

$r=\dfrac{\frac{1}{10}}{\frac{1}{4}}$ degree

$r=\dfrac{4}{10}$ degree/hr

$r=\dfrac{2}{5}$ degree/hr

Therefore, the rate is $\frac{2}{5}$ degree per hour.

5 0

3 years ago

What is the solution to the equation?

ki77a [65]

$5(8 + 7) = 5\cdot x + 5 \cdot 7\\
5\cdot15=5x+35\\
75=5x+35\\
5x=40\\
x=8 \Rightarrow D$

8 0

3 years ago

0.30 meters is equal to 1 what

liberstina [14]

0.30 meter is equal to 1 foot

8 0

3 years ago