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bogdanovich [222]
2 years ago
12

Solve the system of linear equations by substitution, and show the steps please!

Mathematics
1 answer:
kati45 [8]2 years ago
6 0

Anit is b on egj

Step-by-step explanation:

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Lorenzo and his family were on a road trip. His parents told him that they drove 252 miles during the first 312 hours of the tri
Elis [28]

Answer: 6.19 miles

Step-by-step explanation:

1): First you have to divide 312 by 252 to get the miles per hour.

312 / 252 = 1.23

2): Secondly, multiple 1.23 by 5 hours

5 x 1.23 = 6.19

7 0
3 years ago
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4 0
3 years ago
Shopping at Savers Mart, Lisa buys her children 4 shirts and 3 pairs of pants for $85.50. She returns the next day and buys 3 sh
maria [59]

Answer:

price for one shirt

=

$

7.50

price for one pair of pants

=

$

18.50

Explanation:

Start by letting variables

x

and

y

represent the pieces of clothing from the problem.

Let

x

be the price of one shirt.

Let

y

be the price of one pair of pants.

Equation

1

:

4

x

+

3

y

=

85.50

Equation

2

:

3

x

+

5

y

=

115.00

You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for

y

, the price of each pair of pants.

To isolate for

y

, we must eliminate

x

. We can do this by making the two equations have the same

x

values. First, we find the LCM of

4

and

3

, which is

12

. Next, multiply equation

1

by

3

and equation

2

by

4

so that

4

x

and

3

x

becomes

12

x

in both equations.

Equation

1

:

4

x

+

3

y

=

85.50

3

(

4

x

+

3

y

)

=

3

(

85.50

)

12

x

+

9

y

=

256.50

Equation

2

:

3

x

+

5

y

=

115.00

4

(

3

x

+

5

y

)

=

4

(

115.00

)

12

x

+

20

y

=

460.00

Now that we have two equations with

12

x

, we can subtract equation

2

from equation

1

to solve for

y

.

12

x

+

9

y

=

256.50

12

x

+

20

y

=

460.00

−

11

y

=

−

203.50

y

=

18.50

⇒

price for one pair of pants

Now that we know that a pair of pants is

$

18.50

, we can substitute this value into either equation

1

or

2

to find price for one shirt. In this case, we will choose equation

1

.

4

x

+

3

y

=

85.50

4

x

+

3

(

18.50

)

=

85.50

4

x

+

55.5

=

85.50

4

x

=

28

x

=

7.50

⇒

price for one shirt

∴

, the price for one shirt is

$

7.50

and the price for one pair of pants is

$

18.50

.

Step-by-step explanation:

yea

5 0
2 years ago
6 divided by 2 and 1 fourths.<br> FULL ANSWER
enot [183]
6 divided by 2 and 1 forths is going to be 8 out of  3


4 0
3 years ago
Find the length of the third side to the nearest tenth.<br> 3 7
kogti [31]

Answer:

uhm 5?

Step-by-step explanation:

because 3 we move 1 more is 4.

and 7 we go -1 which is 6 so we have 5 in the middle so the answer is 5!

5 0
2 years ago
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