All categories

2 years ago

Solve the following equation simultaneously 2a-3b+10=0, 10a+6b=8

1 answer:

3 0

$2a -3b +10 =0\\\\10a+ 6b -8 =0\\\\\text{Using cross multiplication method}\\\\\\ \dfrac a{(-3)(-8) - 6(10)} = \dfrac b{10(10) - 2(-8)} = \dfrac 1{ 2(6) - (-3)(10)}\\\\\\\implies \dfrac a{24-60} = \dfrac b{100+16} = \dfrac 1{12+30}\\\\\\\\\implies -\dfrac {a}{36} = \dfrac b{116} = \dfrac 1{42}\\\\\\\text{Hence}\\\\a = - \dfrac{36}{42} = -\dfrac 67 \\\\\\ b= \dfrac{116}{42} = \dfrac{58}{21}$

You might be interested in

What is the unit rate for meters per second if a car travels 450 meters in 25 seconds?

Fantom [35]

M/s =meters per second

7 0

3 years ago

Read 2 more answers

A rectangular prism has a volume of 97.5 cubic inches. The length is 5 inches and the height is 3 inches. What is the width of t

const2013 [10]

Answer:

6.5

Step-by-step explanation:

3X5=15

97.5/ 15 = 6.5

3 0

2 years ago

Help? With all? Plzzz

Margaret [11]

Cuz if so, then you just move the whole x term to the right side and divide all the terms on the right side by the coefficient of y
for ex...
3) 4x+4y=16
4y=16-4x (or -4x+16)
y=4-x or -x+4

7 0

3 years ago

First the first 4 term for 4n-5

likoan [24]

Answer:

-1, 3, 7, 11

Step-by-step explanation:

First, let's find term 1. To find this term, we need to replace n with 1 - what is 4(1) - 5? Well, that's just 4 - 5, or -1. So, our first term is -1. Next, we'll find our second term. To do this, we'll replace n with 2. 4(2) = 8, and then 8 - 5 is equal to 3, so our second term is 3. Let's now find the third term by replacing n with the number 3. 4(3) - 5 is equal to 12 - 5, or 7. So, 7 is our third term. Finally, we'll find the fourth term. 4(4) is equal to 16, and 16 - 5 is equal to 11. So, the fourth and final term is equal to 11.

Hopefully that's helpful! :)

5 0

2 years ago

Read 2 more answers

The school band is selling items to raise $9,500 for a trip. For each item sold, the band's profit is a percent of the sellin

Finger [1]

The goal amount of the student groups are given in percentages, which are fractions based on one hundred.

The flutist raised more money than the trumpeters

The difference in the amounts the student raised is $256.5

Reasons:

The amount the school band is raising for the trip = $9,500

Goal of the flutist = To raise 18% of the total amount

Goal of the trumpeters = 85% of the flutist's goal

Required:

The group that raise more money, given that their goals are met

Solution:

Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.

Required:

The difference in the amount raised by the students

Solution:

The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710

Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5

The difference in the amount raised = $1,710 - $1,453.5 = $256.5

Learn more about percentages here:

brainly.com/question/1367867

7 0

2 years ago

Solve the following equation simultaneously 2a-3b+10=0, 10a+6b=8​

Solve the following equation simultaneously 2a-3b+10=0, 10a+6b=8