1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dybincka [34]
2 years ago
11

If y-3x=9, 7x+y=25, what is the value of x and y?

Mathematics
1 answer:
lianna [129]2 years ago
4 0

\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?

\bold{\rm{Solution}} \text{: We'll solve this by substitution method}

\dashrightarrow  y - 3x = 9 \\  \\  \dashrightarrow   \boxed{y = 9 + 3x } \qquad .. \sf eq(1)

\text{we got the value of y now getting the value of x}

\looparrowright 7x + y = 25 \\  \\  \looparrowright 7x = 25 - y \\  \\  \looparrowright  \boxed{x =   \frac{25 - y}{7}} \qquad .. \sf eq(2)

\text{Now, putting y = 9 + 3x in eq(2)}

\hookrightarrow  x =  \frac{25 - y}{7}   \\  \\ \hookrightarrow  x =  \frac{25 - 9 + 3x}{7}  \\  \\ \hookrightarrow  7x =  25 - 9 + 3x \\  \\ \hookrightarrow  7x - 3x =  16 \\  \\ \hookrightarrow  4x = 16 \\  \\ \hookrightarrow  x =  \frac{16}{4}  \\  \\ \star \quad  \boxed{ \green{ \frak{ x = 4}}}

\text{Now we know the value of x, for getting y we need to put x in eq(1)}

: \implies y = 9 + 3x \\  \\   : \implies y = 9 + 3(4) \\  \\  : \implies y = 9 + 12  \\  \\    \star \quad  \boxed{\frak{  \green{y = 21}}}

\text{Hence, values of x and y are} \:  \frak{ \green{4}}  \: \text{and} \:  \frak{ \green{21}} \: \text{respectively}.

You might be interested in
Write an equation of each line with the given slope and y-intercept. slope =1/2 ; y-intercept = 0
CaHeK987 [17]

Answer:

y=1/2x

Step-by-step explanation:

Equations of lines are written in slope-intercept form:

y=mx+b

where m is the slope and b is the y intercept.

The slope is 1/2 and the y-intercept is 0. Therefore, we can substitute 1/2 for m and 0 for b.

y=1/2x+0

Adding 0 onto the end doesn't change the equation and doesn't serve a purpose, so it can be removed from the end of the equation.

y=1/2x

The equation is: y=1/2x

4 0
3 years ago
Plsplsplsplsplsplspslpslsplspslpslpslsplsplspslsp
nikdorinn [45]

Answer:

192

Step-by-step explanation:

Fist you do 4x6x4, then 6x8x2 and add em together and you get 192! :)

5 0
3 years ago
Read 2 more answers
HELPPPP
MissTica

Answer:

$41.0625

Step-by-step explanation:

Divide $054.75 by 4

Multiply the answer to that (13.6875) by 3 or subtract 054.5 by 13.6873

The answer to that step is your answer.

8 0
3 years ago
I NEED THIS RN IMMEDIATELY ASAP PLS HELP !!! INSTRUCTIONS ARE ON THE FIRST PIC! (pls no links to other sites)
diamong [38]

Answer:

there are no instructions

Step-by-step explanation:

pls fix ur question

7 0
3 years ago
Read 2 more answers
The mass of 2 large boxes is 16,000 g. One box has a mass of 9,000 g. What is the mass of the other box in kilograms? (1,000 g =
allochka39001 [22]

Answer:

7 kg

Step-by-step explanation:

16000g = 16kg

9000g = 9kg

16 - 9 = 7kg

3 0
3 years ago
Read 2 more answers
Other questions:
  • The number of bicycles (X) in a shop is 4 more that 3 times the number of snowmobiles (Y). What equation symbolically represents
    7·1 answer
  • Work the following pricing problems for services rendered. (For all calculations use hundredths.)
    15·1 answer
  • What is the area of a piece of typing page 8.5" by 14"
    13·2 answers
  • 20. Complete the definition of Logarithm: For all positive numbers a, where a #1, and all positive numbers x.
    10·1 answer
  • "A department store in your hometown charges 9.75% tax; the stores location in your cousins hometown only charges 7.75% tax. If
    8·1 answer
  • Pls, can you help me whit this? thx♡
    8·1 answer
  • Help plez its due in 30 mins ._.
    13·2 answers
  • And the last part <br><br><br> Xxxxxxx
    15·1 answer
  • 5=r÷¼ <br><br>How do I do this? This makes no sense to me​
    14·2 answers
  • (ii) The probability the tiles are both the same colour is 16 45 Show that x2 - 6x + 5 = 0.<br>​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!