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
tekilochka [14]
3 years ago
10

Solve this system of equations 3x-5y=7 4x+10y=16

Mathematics
1 answer:
seropon [69]3 years ago
4 0
Solve the following system:
{3 x - 5 y = 7 | (equation 1)
{10 y - 4 x = 16 | (equation 2)


Swap equation 1 with equation 2:
{-(4 x) + 10 y = 16 | (equation 1)
{3 x - 5 y = 7 | (equation 2)

Add 3/4 × (equation 1) to equation 2:
{-(4 x) + 10 y = 16 | (equation 1)
{0 x+(5 y)/2 = 19 | (equation 2)


Divide equation 1 by 2:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+(5 y)/2 = 19 | (equation 2)


Multiply equation 2 by 2:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+5 y = 38 | (equation 2)

Divide equation 2 by 5:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+y = 38/5 | (equation 2)

Subtract 5 × (equation 2) from equation 1:
{-(2 x)+0 y = -30 | (equation 1)
{0 x+y = 38/5 | (equation 2)

Divide equation 1 by -2:
{x+0 y = 15 | (equation 1)
{0 x+y = 38/5 | (equation 2)
Collect results:
Answer:  {x = 15
                {y = 38/5 or 7.6 decimal
You might be interested in
If angle A and angle B are supplementary angles and angle A is eight times as large as angle ​B, find the measures of angle A an
ruslelena [56]

Step-by-step explanation:

A=8B  

A+B=180

8B+B=180°

9B=180°

B=20°

so  

angle A =8×20=160°

angle B= 20°

6 0
3 years ago
1. You and your friend are going to Boston but
Nataly [62]

Answer:

speed acquired by me = 40 miles / hour

speed acquired by my friend = 50 miles / hour

Step-by-step explanation:

Here's the solution :-

time taken by both = 6 hours

( 10 AM - 4 PM )

1. Now, the required speed for me to reach boston at 4 PM is :

=》

\frac{distance}{time}

=》

\frac{240}{6}

=》

40 \: mph

2. Now, the required speed for my friend to reach boston at 4 PM is :

=》

\frac{distance}{time}

=》

\frac{300}{6}

=》

50 \: mph

3 0
3 years ago
yall i kinda need a bit of help The perimeter of the shape is 54 centimeters. What is the value of y? im super confused
gogolik [260]
Y= 9 because 54 divided by 6 sides = 9
4 0
3 years ago
Read 2 more answers
Translate the sentence into an equation.
coldgirl [10]

Hey there!

We want to multiply a certain quantity by 2, so we will put the two outside of parentheses and put our variable (x) minus two inside the parentheses to represent this. This will all equal two.

2(x-6)=2

The unknown number is also 7.

I hope that this helps!

7 0
3 years ago
Give 1 pair of Vertical and 1 pair of Supplementary angles
mojhsa [17]

Solution:

Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.

These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:

Notice that together they make a straight angle.

Hence,

From the image

The following pairs form vertical angles

\begin{gathered} \angle1=\angle3(vertical\text{ angles)} \\ \angle2=\angle4(vertical\text{ angles)} \\ \angle5=\angle7(vertical\text{ angles)} \\ \angle6=\angle6(vertical\text{ angles)} \end{gathered}

Hence,

One pair of the vertical angles is ∠1 and ∠3

Part B:

Two angles are said to be supplementary when they ad together to give 180°

Hence,

From the image,

The following pairs are supplementary angles

\begin{gathered} \angle5+\angle6=180^0(supplementary\text{ angles)} \\ \angle5+\angle8=180^0(supplementary\text{ angles)} \\ \angle7+\angle8=180^0(supplementary\text{ angles)} \\ \angle6+\angle7=180^0(supplementary\text{ angles)} \\ \angle1+\angle2=180^0(supplementary\text{ angles)} \\ \angle1+\angle4=180^0(supplementary\text{ angles)} \\ \angle2+\angle3=180^0(supplementary\text{ angles)} \\ \angle3+\angle4=180^0(supplementary\text{ angles)} \end{gathered}

Hence,

One pair of supplementary angles is ∠5 and ∠6

8 0
1 year ago
Other questions:
  • Between the pair of numbers insert the proper sign 4.67 4.6 07
    5·1 answer
  • Solve for m.<br> -2m = - 10
    7·2 answers
  • What is the answer to this James have $15 in his piggy bank at home if he earns $9 from doing chores each week , how much money
    8·2 answers
  • In the diagram below, DE is parallel to Y. What is the value of x
    11·1 answer
  • I need to find the answer to this question
    9·1 answer
  • HELP PLZZZ
    5·2 answers
  • Which numbers in the list are less than -0.94?
    14·1 answer
  • Nmbffggyffgggggggggggggg
    12·2 answers
  • Use the perfect square trinomial identity to write this expression in factored form:
    15·2 answers
  • What is the volume of the rectangular pyramid shown​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!