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2 years ago

What is the solution to the equation 1/4x +2= -5/8x - 5

Mathematics

2 answers:

nalin [4]2 years ago

7 0

Answer:

x = -8

Step-by-step explanation:

1/4x +2= -5/8x - 5

Add 5/8x to each side

1/4x +5/8x +2= -5/8x+5/8x - 5

1/4x+5/8x +2= - 5

Subtract 2 from each side

1/4x+5/8x +2-2= - 5-2

1/4x+5/8x = - 7

Get a common denominator

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7x * 7/8x = -7 *8/7

x = -8

g100num [7]2 years ago

6 0

Answer:

x=-8

Step-by-step explanation:

1/4x+2=-5/8x-5

find l.c.m=8

multiply through by l.c.m which is 8

x/4×8+2×8=-5x/8×8-5×8

2x+16=-5x-40

2x+5x=-40-16

7x=-56

divide both sides by 7

7x/7=-56/7

x=-8

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6 0

3 years ago

7x + 2y=24<br> 8x + 2y=30

Bumek [7]

Answer:

x=6 y=-9

Step-by-step explanation:

Layer the equations on each other as you would in a subtraction problem:

8x + 2y=30

7x + 2y=24

Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:

42+2y=24 then

2y=-18 then

y=-9

Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.

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3 years ago

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