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
lubasha [3.4K]
3 years ago
10

Solve the system of equations using the addition method 2a+3b=-1 ; 3a+5b=-2

Mathematics
2 answers:
konstantin123 [22]3 years ago
7 0

Answer:

a = 1 and b= -1

Step-by-step explanation:

It is given two equations,

2a + 3b = -1  and

3a + 5b = -2  

<u>To find the solution of given equations</u>

Let, 2a + 3b = -1   ----(1)

3a + 5b = -2   ------(2)

(1) * -3 ⇒

-6a - 9b = 3    ----(3)

(2) * 2 ⇒

6a + 10b = -4   -----(4)

(3) + (4 )⇒

-6a - 9b = 3    ----(3)

<u>6a + 10b = -4   -----(4)</u>

  0 + b  = -1

(1) ⇒ 2a + 3b = -1  

2a + (3 * -1) = -1

2a = -1 + 3 = 2

a = 2/2 =1

Therefore, a = 1 and b = -1

Alexeev081 [22]3 years ago
3 0

Answer:

Then, a=-1 and b=-1

Step-by-step explanation:

We need to solve the following system of equations using the adition method:

2a+3b=-1       (i)

3a+5b=-2      (ii)

First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:

-6a-9b=3

6a+10b=-4

Adding the two equations we have:

-6a-9b=3

6a+10b=-4

--------------------------

 0  + b = -1

Then b=-1. Now, let's substitute the value of b into equation (i):

2a+3b=-1

2a + 3(-1) = -1

2a -3 = -1

2a = 2

a = 1

Then, a=-1 and b=-1

You might be interested in
What is the equation of the line that is parallel to the graph of y = 2x - 5 and passes through the point (8, 10)?
Kruka [31]

We know that the equation of a line is given by

y-y_1=m(x-x_1)

To find it we need the slope m and a point that the line passes thorugh. In this case we have the point (8,10) but we don't know the slope. What we know is that the line we are looking for is parallel to the line

y=2x-5

We also know that for two lines to be parallel they have the same slope. Then, if we fin the slope of the line y=2x-5, we have the slope of the line we are looking for. To find the slope of the line y=2x-5 we note that it is written in the slope-intercept form

y=mx+b

From this we know that the slope is multiplying the x variable when it is written in that form. Hence m=2.

Then the line we are looking for has an slope of 2 and passes through the point (8,10). Pluggin the values in the equation of a line we have.

y-10=2(x-8)

Writting it in the slope intercept form we have

\begin{gathered} y-10=2(x-8) \\ y-10=2x-16 \\ y=2x-16+10 \\ y=2x-6 \end{gathered}

Then the line parallel to y=2x-5 and passes through the point (8,10) is

y=2x-6

5 0
8 months ago
Help me please, and example
cricket20 [7]

Answer:

Step-by-step explanation:

i think its c

8 0
3 years ago
The double number line below shows the number of students in Mr. Fulton's class. It shows the number of students that represents
Lisa [10]

Answer:

100% = 30. There are 30 students in Mr.Fulton's class

Step-by-step explanation:

If we have 12 as 40%, we divide it by 2 to get the base value which is 6=20%.

Now we multiply the base by 5 so 20% x 5= 100% and 6 x 5 equals 30. so 100% = 30

<h2>MARK BRAINLIEST, I AM WORKING TWOARDS AN ACHIVMENT!</h2>
7 0
3 years ago
Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?
soldi70 [24.7K]
The answer to this question is choice option letter C
7 0
3 years ago
Read 2 more answers
Give two examples of line segments that will make a triangle ?
77julia77 [94]

Answer:

If the length of any one side is greater than the sum of the length of the other two, the line segments cannot be used to create a triangle. It is possible to create a triangle using 3 line segments if the sum of the lengths of any two line segments is greater than the length of the third.

7 0
2 years ago
Other questions:
  • Whats the value of 4 in 46,395 and the value of 4 in 14,906
    8·1 answer
  • PLEASE HELP ME!! 12 points and brainliest!!!!!!
    12·2 answers
  • 10+6x = 15+9x-3x
    5·2 answers
  • A t-shirt increased in price by 1/7. After the increase it was priced at £56. What was the original price of the t-shirt?
    8·2 answers
  • A store discounts a shirt by 25% and the shirt was 30
    6·1 answer
  • (2,3) (7,4) point slope form
    10·1 answer
  • A teacher asks three different students to draw a triangle with the angles 30o, 70o, and 80o. If they draw the angles correctly,
    5·1 answer
  • C) Which of the items had the greatest increase in sales over the 3 years ? Give a reason for your answer
    9·1 answer
  • What is the solution for -4x - 10 ≤ 2?
    14·1 answer
  • Y/7=2 <br> helpppppppppppppp
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!