All categories

3 years ago

Solve the system by substitution. 3x + y = 20 -7y=x Please help

Mathematics

1 answer:

alisha [4.7K]3 years ago

8 0

9514 1404 393

Answer:

(x, y) = (7, -1)

Step-by-step explanation:

The expression for x makes it easy to use that for substitution.

3(-7y) +y = 20

-20y = 20 . . . . . collect terms

y = -1 . . . . . . . . . divide by -20

-7(-1) = x = 7 . . . use y in the second equation to find x

The solution is (x, y) = (7, -1).

You might be interested in

[PLEASE HELP] Each of these statements describe a transformation of a graph of y = x, The which of the statements correctly desc

Sphinxa [80]

Answer:

Step-by-step explanation:

Adding the 7 to the input (x) will increase the output (y) by 7. Therefore, the graph is translated 7 units up.

5 0

3 years ago

Read 2 more answers

If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take

Ber [7]

188 minutes (rounded) or 187 minutes and 5 seconds

6 0

4 years ago

Read 2 more answers

12p < 96 A. p < 8 B. p < 108 C. p < 84 D. p > –8

inessss [21]

Solution:

Note that:

Given inequality: 12p < 96

Dividing both sides by 12:

12p < 96
=> 12p/12 < 96/12
=> p < 8

Correct option is A.

3 0

3 years ago

Read 2 more answers

What is the slope of the line ?

ElenaW [278]

Answer:

B. -2

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

-2

= -2

θ =

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 3 – 0 = 3

ΔY = -2 – 4 = -6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Answer from Gauth math

8 0

3 years ago

Read 2 more answers

Paul's mp3 player has a total of 852 songs. He has 4 different groups of songs. If he puts an equal number of songs in each grou

Igoryamba

Answer:

There will be 213 songs in each group.

Step-by-step explanation:

Suppose, the number of songs in each group is $x$

As he has 4 different groups of songs, so the total number of songs in all 4 groups will be: $(4*x)= 4x$

Given that, the mp3 player has a total of 852 songs. So, the equation will be........

$4x=852\\ \\ x=\frac{852}{4}=213$

So, there will be 213 songs in each group.

5 0

4 years ago

Read 2 more answers