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
lianna [129]
3 years ago
13

What is the solution to 3x -2y =1 and 4y = 7 + 3x

Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Given.

3x-2y=1 (1)

4y=7+3x (2)

Re-arrange equation (2)

(4y=7+3x)-4y

0=-4y+3x+7

(0=-4y+3x+7)-7

-7=-4y+3x

Multiply equation (2) by -1

-1(3x-4y=-7)

-3x+4y=7(3)

Combine like terms and solve.

3x-3x-2y+4y=1+7

2y=8

Divide by (2y) and solve for (y).

\frac{2y}{2}=\frac{8}{2}

y=4

Substitute (y) for equation (1).

3x-2y=1

3x-2(4)=1

3x-8=1

Add (8) to both sides.

(3x-8)+8=(1)+8

3x=9

Divide by (3).

\frac{3x}{3}=\frac{9}{3}

x=3

Check your work.

3x-2y=1

3(3)-2(4)=1

9-8=1

1=1

4y=7+3x

4(4)=7+3(3)

16=7+9

16=16

Your answers is x=3 and y=4

You might be interested in
Mike has $5,000. He deposits it in a bank that offers an annual interest rate of 4%. How long does he need to leave it in the ba
Bad White [126]

Answer:

5years

Step-by-step explanation:

interest = ptr/100

1000=5000*t*4/100

1000*100/5000*4=time

5years=time

3 0
3 years ago
Help plsssssss i'm lost il give brainiest
alex41 [277]

Answer:

A  16°

B  -8°

C  6°

D  -16°

E  -4°

Step-by-step explanation:

Look at 0° and 10°. There are 5 lines from one to the other, so each line represents 2°.

A

3 lines above 10° = 10° + 3 * 2° = 10° + 6° = 16°

B

1 lines above -10° = -10° + 2° = -8°

C

3 lines above 0° = 0° + 3 * 2° = 0° + 6° = 6°

D

2 lines above -20° = -20° + 2 * 2° = -20° + 4° = -16°

E

3 lines above -10° = -10° + 3 * 2° = -10° + 6° = -4°

6 0
3 years ago
6 3/5-2 4/5=?<br> Show how you got the answer
Viktor [21]

Hello there,

Okay so the question is asking us to subtract the two mixed numbers, 6 3/5 - 2 4/5, from each other...

The first step would be to change the mixed numbers to improper fractions:

  • 6 3/5 as improper fraction would be 33/5
  • 2 4/5 as improper fraction would be 14/5

Now we need to make sure that the denominators are the same and in this case they are.

Simply subtract 14 from 33 and you would get 19 and the denominator stays the same so you would get 19/5.

  • Now turn 19/5 into a mixed number and you would get 3 4/5

The answer to the 6 3/5 - 2 4/5 would be 3 4/5.

Hope I helped,

Amna

7 0
3 years ago
Please find the surface area of the prism... I will mark you brainliest
lana [24]

Answer: 1618 cm^2

The formula to find surface area of a cuboid is 2(ab + bc + ca)

2(19*3.5 + 3.5*33 + 33*19)

--> 1618

5 0
3 years ago
Lashonda exercises at least 50 minutes per day. Use t to represent Lashonda's amount of exercise (in minutes per day).
irinina [24]

The question is an illustration of inequalities.

The inequality that represents Lashonda's amount of exercise is: \mathbf{t \ge 50}

The given parameter is:

\mathbf{Minutes = At\ least\ 50}

In inequality, at least means <em>greater than or equal to</em>.

So, the above equation becomes:

\mathbf{Minutes \ge 50}

From the question, we understand that the number of minutes should be represented with t.

So, we have:

\mathbf{t \ge 50}

Hence, the inequality is: \mathbf{t \ge 50}

Read more about inequalities at:

brainly.com/question/15137133

6 0
3 years ago
Other questions:
  • A rectangular park is 600 m long and 300 m wide. you walk diagonally across the park from corner to corner. how far do you walk,
    8·1 answer
  • What percentage of 115727 comes from 95577
    7·2 answers
  • Please Help me and make sure it's correct
    12·1 answer
  • Positive factors of 27
    14·2 answers
  • Answer correclty
    6·2 answers
  • Drag each expression to show whether it is equivalent to 36x + 9, 9(4x – 1), or (4 • 9x) + (4 • 2).
    6·2 answers
  • Henry is buying school supplies for the start of the school year.For every 3 pencils he buys 2 pens.If Henry buys 21 pencils ,ho
    7·1 answer
  • Hellllllllllllllllllp !
    15·2 answers
  • Recursive formula for 3,5,7,9,11
    13·1 answer
  • Leah is purchasing a condominium and is financing $515,000 with a 20-year 5/1 ARM at 5.25% with a 1/12 cap structure. What will
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!