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
serious [3.7K]
3 years ago
14

Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

Mathematics
2 answers:
dedylja [7]3 years ago
7 0

Answer:

\huge\boxed{x = 6 , y = -2}

Step-by-step explanation:

\sf \frac{1}{2} x - 3y = 9-----------(1)\\5x + y = 28 ----------(2)

Taking equation (1)

\sf \frac{1}{2} x -3 y=9

Multiplying both sides by 2

\sf x-6y = 18

Adding 6y to both sides

\sf x = 18+6y

Putting this in (2)

5(18+6y) + y = 28

5(18+6y) + y = 28

90 + 30y+y = 28

31y+90-28 = 0

31 y + 62 = 0

31y = -62

Dividing both sides by 31

y = -2

Now,

x = 18 + 6y

x = 18+6(-2)

x = 18-12

x = 6

mamaluj [8]3 years ago
6 0
1/2x - 3y = 9 (1)
5x + y = 28 (2)

(1) x 2
x - 6y = 18

(2) x 6
30x + 6y = 168
—————

x - 6y = 18 (3)
30x + 6y = 168 (4)

(3) + (4)
31x = 186
x = 6

sub x into (2)
30 + y = 28
y = -2
—————

x = 6
y = -2
You might be interested in
What is 20% of 120 ??? HELP ME
maksim [4K]

Answer:

24

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Is 1/3 bigger than 1/2
daser333 [38]
No, 1/2 is bigger than 1/3 because:-

1/2 = 3/6
1/3 = 2/6

Compare

3/6 is larger, which means 1/2 is larger since they both equal each other. 

Answer: 1/2 is greater than 1/3
4 0
2 years ago
Read 2 more answers
Will give brainliest!!
swat32

Answer:

its 5 hours i think

Step-by-step explanation:

3 0
3 years ago
Since f is parallel to line g, use the diagram to the right right to answer the following question (I need help with problem D a
Snezhnost [94]

Given,

The line f and g are parallel lines.

a)The measure of angle 2 is 117 degree.

By exterior atlernate angle property,

\begin{gathered} \angle2=\angle7 \\ \angle7=117^{\circ} \end{gathered}

The measure of angle 7 is 117 degree.

b)The measure of angle 4 is 68 degree.

By sum of adjacent angle between two parallel lines property,

\begin{gathered} \angle4+\angle6=180^{\circ} \\ \angle6=180^{\circ}-68^{\circ} \\ \angle6=112^{\circ} \end{gathered}

The measure of angle 6 is 112 degree.

c)The measure of angle 5 is 32 degree.

By alternate interior angle property,

\begin{gathered} \angle4=\angle5^{} \\ \angle4=32^{\circ} \end{gathered}

The measure of angle 4 is 32 degree.

d)The measure of angle 7 is 121 degree.

By corresponding angle property,

\begin{gathered} \angle7=\angle3^{} \\ \angle3=121^{\circ} \end{gathered}

The measure of angle 3 is 121 degree.

3 0
1 year ago
PLEASE HELP
LekaFEV [45]

Answer: one solution

Step-by-step explanation:

CONCEPT:

- One solution is when the final variable would be able to find a solution.

- Infinite solution is when the equations result in 0=0, meaning any number will fit

- No solution is when the equation results in both sides on equal.

SOLVE:

Given

3/4x-7=3(1/6x+1)

Expand Parenthesis

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

Multiply both sides by the LCM of fractions (Least Common Multiple)

4(3/4x-7)=4(1/2x+3)

3x-28=2x+12

Subtract both sides by 2x

3x-28-2x=2x+12-2x

x-28=12

Add both sides by 28

x-28+28=12+28

x=40

Since we are able to get exactly one solution, there is only one solution.

Hope this helps!! :)

Please let me know if you have any quesionts

5 0
2 years ago
Other questions:
  • The following dot plot represents student scores on the Unit 1 math test. Scores are in whole number increments.
    14·1 answer
  • Solve for y: x(y-3)=2y+1
    13·2 answers
  • To anyone who's in 8th grade, what did you learn in technology for 3rd quarter. like just give me the unit names or just what yo
    12·1 answer
  • An arithmetic progression is a sequence of numbers in which the distance (or difference) between any two successive numbers if t
    10·1 answer
  • 3x plus 2 equal 14<br> how do make it a one step equation
    8·1 answer
  • Which of the following does not dissolve in water​
    12·1 answer
  • If anyone knows pls answer<br><br><br>​
    12·2 answers
  • Divide 30 by half and add 12. What do you get?​
    15·2 answers
  • Please help I really need <br><br> Zoom in so it won’t be blurry
    15·1 answer
  • Are the two sets equivalent? C={4,6,3,2,1}, D={3,2,6,1,4}.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!