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3 years ago

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

1 answer:

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

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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°

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