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3 years ago

Solve for 4x - 3x -16 + 7x =24 solving equations by combining like terms

Mathematics

2 answers:

Nata [24]3 years ago

5 0

Answer:

Step-by-step explanation:

Step 1 combine x's

4x - 3x + 7x

4x - 3x = 1x

1x + 7x = 8x

Step 2 combine numbers

24 - 16 = 8

Step 3 solve

8x = 8

$\frac{8x}{8} =\frac{8}{8}$

x = 1

Ostrovityanka [42]3 years ago

4 0

Answer:

x = 5

Step-by-step explanation:

4x - 3x -16 + 7x =24

x - 16 + 7x = 24

8x -16 = 24

-16+16 = 24+16

40/8 = 8x/8

x = 5

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One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l

DerKrebs [107]

Data:

Humans (x) = 2 Legs
Horses (y) = 4 Legs

74 Heads
196 Legs

Solving:

Addition method

$\left \{ {{x + y =74} \atop {2x + 4y =196}} \right.$

Simplify by (-4) The first equation

$\left \{ {{x + y =74(-4)} \atop {2x + 4y =196}} \right.$
$\left \{ {{-4x - \diagup\!\!\!\!\!4y =-296} \atop {2x + \diagup\!\!\!\!\!4y =196}} \right.$
$\left \{ {{-4x =-296} \atop {2y =196}} \right.$
$-2x = -100.simplify(-1)$
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$\boxed{x = 50}$

Now, to find the number of horses, I will use the following equation and I will replace the found value, we will have:

$x + y = 74$
$50+y = 74$

Number with incognito are to the left of the equality and numbers without incognito are to the right, remembering that when changing of side changes the signal.

$y = 74-50$
$\boxed{y = 24}$

Answer:
Humans = 50
Horses = 24

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3 years ago

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zalisa [80]

Answer:

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