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iren [92.7K]
2 years ago
9

Help will mark brainiest

Mathematics
2 answers:
Ivanshal [37]2 years ago
6 0

So first Isolate the variable by dividing each side by factors that don't contain the variable.

y= 3x/2 + 3

Hope this helps!

Alex_Xolod [135]2 years ago
5 0

Here is the equation given:

-6x=12-4y

In the equation, you're looking for y. That means you need to move anything with the variable y to the other side.

In this equation, you have 12-4y. To move 12 to the other side, you will need to subtract 12 on both sides. This is because when a variable or integer is moved, the sign changes. The 12 was originally positive, but when moving it, it will become -12, which is why it was subtracted.

-6x-12=12-4y-12 \\-6x-12=-4y

Remember you're looking for y alone. y is currently -4y. To remove the -4 that is being multiplied by y, you will need to do the opposite of it, which is divide by -4. Divide both sides by -4:

\frac{-6x-12}{-4} =\frac{-4y}{-4}

When a negative number is multiplied by another negative number, the sign becomes positive. On the left side, you have -6x-12, which is being divided by -4. When you divide, \frac{-6x}{-4} becomes \frac{6}{4}.

\frac{-6x-12}{-4} =\frac{-4y}{-4}\\\frac{6}{4}x+3=y

\frac{6}{4} cans till be simplified. The greatest common factor of 6 and 4 is 2, so divide the fraction by 2.

\frac{6 \div 2}{4 \div 2} =\frac{3}{2}

That means \frac{3}{2}x+3=y

The answer you are looking is \bf \frac{3}{2}.

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Give a geometric description of the following system of equations.a. 2x−4y=12 −3x+6y=−15.b. 2x−4y=12 −5x+3y=10.a. 2x−4y=12 −3x+6
Reptile [31]

Answer:

a. No solution, parallel lines.

b. One solution.

Step-by-step explanation:

Given the system of equations:

a. 2x-4y=12

-3x+6y=-15

b. 2x-4y=12

-5x+3y=10

To give a geometric description of the given system of equations.

The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.

i.e.

Number of planes = Number of variables

Number of lines = Number of equations in the system.

Here, we are given 2 variables and 2 equation in each system.

So, they can be represented in the xy-coordinates plane.

And the number of solutions to the system depends on the following condition.

Let the system of equations be:

A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0

1. One solution:

There will be one solution to the system of equations,  If we have:

\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}

2. Infinitely Many Solutions: (Identical lines in the system)

\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}= \dfrac{C_1}{C_2}

3. No Solution:(Parallel lines)

\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}

Now, let us discuss the system of equations one by one:

a. 2x-4y=12 OR 2x-4y-12=0

-3x+6y=-15 OR -3x+6y+15=0

A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -3, B_2 = 6, C_2= 15

Here, the ratio:

\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2} = -\dfrac{2}{3}\\\dfrac{C_1}{C_2} = -\dfrac{4}{5}

\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}

Therefore, no solution i.e. parallel lines.

b. 2x-4y=12 OR 2x-4y-12=0

-5x+3y=10 OR -5x+3y-10=0

A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -5, B_2 = 3, C_2 = -10

\dfrac{A_1}{A_2}= -\dfrac{2}{5}\\\dfrac{B_1}{B_2} = -\dfrac{4}{3}\\\dfrac{C_1}{C_2} = -\dfrac{6}{5}

\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}

So, one solution.

Kindly refer to the images attached for the graphical representation of the given system of equations.

6 0
2 years ago
Is 234 divisible by 6
Korvikt [17]
<span>A number is divisible by 6 if it is even and divisible by 3. Consider 234. This is an even number. The sum of the digits is 9. It is divisible by 3, which is divisible by 6</span>
Yes, 234 divisible par 6
<span><span>
</span></span>
8 0
3 years ago
Read 2 more answers
Can someone help me asap
Alenkasestr [34]

Answer:

I hope this is helpful

Step-by-step explanation:

mark brainlest pls

4 0
2 years ago
Linda is making a mosaic stepping stone to place in
Lorico [155]

Answer:

D 565.2 in

Step-by-step explanation:

First you need to find the area of the stepping stone. The rule for area of circle is pi times radius squared. To find the radius you divide 12 by 2 = 6. After you do 6 times 6= 36 you multiply 36 times pi (3.14) = 113.04. After we find the are of the stepping stone we multiply it by five to get how many inches we have to cover. 113.04 times 5= 565.2 in.

3 0
2 years ago
Evaluate the following expressions using the order of operations
Ahat [919]
7*8-4(6-2)+18
56-4(4)+18
56-16+18
40+18
58

6^2-(8*3)+2^2(7*3)
36-24+4(21)
12+84
96
7 0
3 years ago
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