All categories

3 years ago

Will give braineliest

Mathematics

2 answers:

OleMash [197]3 years ago

7 0

Answer:

$3Fx + 3Gy = 3H\\Qx + Ry = S$

Step-by-step explanation:

Given:

The system of equations given are:

$Fx + Gy = H \\Qx + Ry = S$

If an equation is multiplied by a number throughout, then the equation remains the same by multiplication property of equality. The multiplication property of equality says that if both sides of the equation is multiplied by the same number, then the new equation is equivalent to the previous equation.

For example: If $x+y =2$ is multiplied by 2 on both sides, then the new equation will be $2x+2y=4$ which is equivalent to $x+y =2$ .

So, from among all the choices given, the first choice represents the above mentioned property. The equation $Fx + Gy = H$ is multiplied by 3 on both sides. So, the equation $3Fx + 3Gy = 3H$ is equivalent to $Fx + Gy = H$ .

The second equation $Qx + Ry = S$ has not been changed. So, the equivalent system of equations to the given system is:

$3Fx + 3Gy = 3H\\Qx + Ry = S$

o-na [289]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

PLEASE HELP DUE TMRW

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

8 0

4 years ago

Write an expression for the calculation add 34 and 6 and then multiply 3

Ymorist [56]

We need to write an expression for "add 34 and 6 and then multiply 3"

"Add" represents + operation .

"multiply" represents × operation.

We need to add 34 and 6.

So, we can write 34+6 and then we need multiply the sum by 3.

So, we need to keep above addition of 34 and 6 in parantehsis. We get

(34+6) × 3.

So, the final expression is (34+6) × 3.

3 0

3 years ago

WHO IS SUPER GOOD AT MATH? I NEED HELP REALLY FAST! BRAINLIEST ANSWER AWARDED TO CORRECT ANSWER WITH AT LEAST A LITTLE EXPLANATI

erastova [34]

The answer to your question is D

7 0

3 years ago

Let u = <-9, 4>, v = <8, -5>. Find u - v. <br> URGENT

Pie

To subtract vectors, you simply have to subtract correspondent coordinates.

So, if you have

$u = \langle u_1,\ u_2,\ldots u_n\rangle ,\quad v = \langle v_1,\ v_2,\ldots v_n\rangle$

the subtraction is simply

$u-v = \langle u_1-v_1,\ u_2-v_2,\ldots u_n-v_n\rangle$

So, in your case, we have

$\langle-9,4\rangle-\langle 8,-5\rangle=\langle -9-8, 4+5\rangle=\langle -17,9\rangle$

3 0

3 years ago

WILL MARK BRAINLIEST

Levart [38]

Answer:

Part 1:

The solution set of the system of equations is x = 1, y = 1

Part 2:

The solution set is x = 1, y = 1

Part 3:

The similarity of the system of equations in Parts 1 and 2 is that they have the same solution set

The difference of the system of equations in Parts 1 and 2 is that they are arranged differently

Step-by-step explanation:

Part 1:

The system of equation is given as follows;

2·x + y = 3...(1)

x = 2·y - 1...(2)

The above system of equations can be written in terms of the variable, y, as follows;

For equation (1), we have;

y = 3 - 2·x

For equation (2), we have;

y = (x + 1)/2

From the attached graph created with Microsoft Excel, we have;

The solution set (the point of intersection) of the system of equations is x = 1, y = 1

To accurately find the common solution, we have;

(x + 1)/2 = 3 - 2·x

x + 1 = 2·(3 - 2·x) = 6 - 4·x

x + 1 = 6 - 4·x

x + 4·x = 6 - 1

5·x = 5

x = 5/5 = 1

x = 1

Therefore, y = 3 - 2·x = 3 - 2× 1 = 1, at the common solution

Part 2:

y = -2x + 3

x - 2y = -1

∴ x = 2y -1

y = -2(2y -1) + 3

y = -4y + 2 + 3

5y = 5

y = 1

x = 2y - 1 = 2 - 1 = 1

x = 1

The solution set is x = 1, y = 1

Part 3

The system of equations are similar in terms of their solution

The system of equations are different in terms of their arrangement

6 0

3 years ago