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Yuri [45]
3 years ago
6

Write a two column proof. Given: 7y=8x-14 ; y=6 Prove: x=7

Mathematics
2 answers:
m_a_m_a [10]3 years ago
8 0
7y = 8x - 14

7y= 7(6) Reason : Given

7y = 42

8x -14 = 42 Reason: Because 8x - 14 equals to 7y


8x = 42 + 14 Reason : Because we flip 14 on to the other side of the equation thus it becomes opposute of what it was.

8x = 56

× = 7

Proven
ryzh [129]3 years ago
6 0

Given - 7y=8x-14 : y=6

Substitution Property - 7(6)=8x-14

Distributive Property - 8x-14=42

Addition Property - 8x=56

Division Property - x=7

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Find the missing fraction. What is the ??? equal to? (the fractions aren't in order)
dimaraw [331]

Step-by-step explanation:

1/6 divided by 3=1/2.

I think this is the answer

5 0
3 years ago
A. Sam purchased 3 games for $140 after a discount of 30%. What was the original price?
Semmy [17]

Answer:

a) $175 b) It will be $126

Step-by-step explanation:

Cost price of 3 games= $140

Let the original price of games= $ x

Discount is given= 30%

According to question

x \frac{(100-20)}{100}= $140

x \frac{80}{100}= $140

x ×0.8= $140

x= $ \frac{$140}{0.8}

x= $175

Hence, the original price of games $ 140

(b)  If Sam had given a discount of 20%

Again a discount = 10%

The price of games=$ 140

Now, the selling price will be= 175\frac{(100-20)}{100}×\frac{(100-10)}{100}

Now, the selling price will be= $ 126

Hence, the price will be different.

7 0
4 years ago
which statement is true about the equations –3x 4y = 12 and x1/4 – 1/3y = 1? the system of the equations has exactly one solutio
finlep [7]
If you would like to solve the system of equations, you can do this using the following steps:

-3x + 4y = 12
x * 1/4 - 1/3 * y = 1 ... x * 1/4 = 1 + 1/3 * y ... x = 4 + 4/3 * y
_____________
<span>-3x + 4y = 12
</span>-3 * (4 + 4/3 * y) + 4y = 12
-12 - 4y + 4y = 12
-12 = 12
-12 - 12 = 0
-24 = 0

The correct result would be: <span>the system of the equations has no solution; the two lines are parallel.</span>
4 0
3 years ago
PLZ HELP WILL GIVE BRAINLIEST!!!!!!!!
Nimfa-mama [501]
C is the best one I'm pretty sure it makes the most sense
5 0
4 years ago
Read 2 more answers
2/5 - 1/3 (simplified if possible)
Kipish [7]

Answer:

1/15

Step-by-step explanation:

(1).   <em>Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD (Least Common Denominator). </em>

So lets do step one now, the LCD is 15 so we have to make both denominators agree on one number, so 15 is the number both denominators agree on.

Solve:

2*3/5*3 - 1*5/3*5

(2). <em>Complete the multiplication.</em>

6/15 - 5/15

(3). <em>The two fractions now have like denominators so you can subtract the numerators.</em>

6 - 5 / 15 - 15 = 1/15

*Pro tip:

<em>The denominator doesn't change and stays the same. So you don't </em>

<em>subtract the 15 by 15.</em>

(4). <em>Then you'll get the answer and then if you can simplify then simplify.</em>

<em />

The Answer is 1/15, and cannot be simplified.

So the answer is 1/15

Hope this helps!

7 0
2 years ago
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