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2 years ago

20 POINTS PLEASE HELP ME!!!

Mathematics

1 answer:

Minchanka [31]2 years ago

5 0

Answer:

p = -1

x=10

m < 7

Step-by-step explanation:

4(3p + 6 ) = 12

Distribute the 4

12p +24 = 12

Subtract 24 from each side

12p+24-24 = 12-24

12p = -12

Divide by 12

12p/12 = -12/12

p = -1

-5(x -4) = -30

Distribute the -5

-5x+20 = -30

Subtract 20 from each side

-5x+20-20 = -30-20

-5x=-50

Divide by -5

-5x/-5 = -50/-5

x=10

-3m + 15 > -6

Subtract 15 from each side

-3m + 15-15 > -6-15

-3m >-21

Divide by -3 remember to flip the inequality

-3m/-3 < -21/-3

m < 7

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Read 2 more answers

As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor shou

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Answer:

Yumiko should multiply the other equation by 3.

If she adds the two equations she would be left with the variable 'x'.

Step-by-step explanation:

Given the two equations are as follows:

$2x - 3y = 12 \hspace{5mm} \hdots (1)$

$5x + 6y = 18 \hspace{5mm} \hdots (2)$

It is given that she multiplies the first equation by 6. Therefore, (1) becomes

$12x - 18y = 72 \hspace{15mm} \hdots (a)$

Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.

The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.

Therefore, Equation (2) becomes:

$15x + 18y = 54 \hspace{5mm} \hdots (b)$