!!!!!!!!!!!!50 POINTS!!!!!!!!!!! Question bellow!

Answers

Answer 1

Answer: 7x - 3y = 13
x - 2y = 5

To solve a system of equations, we first need to solve for one of the variables. In this case, let's solve for x.

7x - 3y = 13 Given
7x = 3y + 13 Add 3y to both sides
x = 3/7y + 13/7 Divide both sides by 7

x - 2y = 5 Given
x = 2y + 5 Add 2y to both sides

Now we can set the two equations equal to each other, since they both equal x.

3/7y + 13/7 = 2y + 5 Set the equations equal to each other
13/7 = 11/7y + 5 Subtract 3/7y from both sides; 2 can also be written as 14/7, since 14 divided by 7 is 2, so just subtract 3 from 14
-22/7 = 11/7y Subtract 5 from both sides
-2 = y Multiply both sides by 7/11, since you multiply fractions by their reciprocal to cancel; you might want to use a calculator for this

Now we know that y = -2. Let's substitute that into one of our original equations to get x.

x = 2y + 5 Given
x = 2(-2) + 5 Substitute y for -2
x = -4 + 5 Multiply
x = 1 Add

The answer is x = 1, y = -2.

Hope this helps!

Answer 2

Answer: Solutions

To solve the equation we have to use substitution. "Substitution" means putting numbers where the letters are placed.

Calculations

1) Solve for x in x−2y=5

⇒ Solve for x

x−2y=5

⇒ Add 2y to each side

x=5+2y

2) Substitute x=5+2y into 7x−3y=13

⇒ Start with the original equation

7x−3y=13

⇒ Let x=5+2y

7(5+2y)−3y=13

⇒ Simplify

35+11y=13

3) Solve for y in 35+11y=13

⇒ Solve for y

35+11y=13

⇒Subtract 35 from both sides

11y=13−35

⇒ Simplify 13−35 to −22

11y=−22

⇒ Divide both sides by 11

y=−22 ÷ 11

⇒ Simplify 22 ÷ 11 to 2y=−2
y= -2

4) Substitute y=−2 into x=5+2y

⇒ Start with the original equation

x=5+2y

⇒ Let y=−2

x=5+2×−2

⇒ Simplify

x=1

Therefore,

x=1

y=−2

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Lea walked 1/2 miles in 1/3 hours. How long will it take Lea to walk 21/4 miles?

Answers

1/3÷1/2=2/3
2/3×21/4=7/2
it will take her 3.5 hours

21/4 * 1/3 / 1/2
= 21/12 / 1/2
= 21/12 * 2
= 21/6
= 3 3/6
= 3 1/2

in a card game,each player is dealt 5 cards.Make a table to show the total number of cards dealt for each number of players from 3 to 6.Write each ratio of players to cards dealt.

Answers

so since each player is dealt 5 cards
ratio of cards per player is 5:1

so if 3 players
5 times 3=15 cards

4 players=4 times 5=20 cards

5 players=5 times 5=25 cards

6 players=6 times 5=30 cards

ratio of cards per player is 5:1

since each palyer gets 5 cards each then 3 people is 15 cards & 4 people is 20 cards & 5 people is 25 cards and 6 people is 30 cards all together so there will be 30 cards all together 3:15 4:20 5:25 6:30

Jon's weight loss for each week of the month is 4 lbs., 3.5 lbs. and 2 lbs. He gained 4.5 lbs. the last week. If Jon originally weighted 153 lbs., how much does he weigh now?

Answers

Answer:

148 lbs

Step-by-step explanation:

Given: Jon's weight loss for each week of the month is 4 lbs., 3.5 lbs. and 2 lbs. He gained 4.5 lbs. the last week.

To Find: If Jon originally weighted 153 lbs., how much does he weigh now

Solution:

Jon's original weight $=153$ $\text{lbs}$

Jon's weight loss in three successive weeks are $= 4$ $\text{lbs}$

$= 3.5$ $\text{lbs}$

$= 2$ $\text{lbs}$

Total weight loss in three weeks is $=4+3.5+2$ $\text{lbs}$

$=9.5$ $\text{lbs}$

Jon's weight after three weeks $=153-\text{weigth loss}$

$=153-9.5$

$143.5$ $\text{lbs}$

Gain in Jon's weight $= 4.5$ $\text{lbs}$

Jon's weight after 4 weeks $=143.5+\text{weight gain}$

$143.5+4.5$

$148$ $\text{lbs}$

Jon weighs $148$ $\text{lbs}$ now.

You have to add the weight he loss then subtract it from 153

6( 5-8x) +12= -54I need help I didn't understand this problem it's really hard to solve it doesn't make sense to me please help?

Answers

6( 5-8x) +12= -54
30-48x+12=-54 this comes from distributing(multiplying) 6x5 and 6 times -8x
30+12-48x=-54 you have to add the coefficients 30+12
42-48x=-54
-42 -42
-----------------------
-48x=-96 divide by -48
x=2

You use the distributive property by distributing the 6 to 5 and -8x which gives you 30-48x+12=-54 then you subtract 30 and 12 from both sides to get -96 then divide by -48 to solve for x which gives you 2

What are the factors of sixty four and forty