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4 years ago

_____ + 5 3/4 = 9 5/8please help you will get 75 points

Mathematics

2 answers:

LuckyWell [14K]4 years ago

7 0

Answer:

3 7/8

Step-by-step explanation:

_____ + 5 3/4 = 9 5/8

x + 5 3/4 = 9 5/8

Subtract 5 3/4 from each side

x + 5 3/4 - 5 3/4 = 9 5/8 - 5 3/4

x = 9 5/8 - 5 3/4

Get a common denominator of 8

5 3/4 *2/2 = 5 6/8

x = 9 5/8 - 5 6/8

We need to borrow 1 from the 9 in the form of 8/8

x= 8 + 8/8+ 5/8 - 5 6/8

x = 8 13/8 - 5 6/8

= 3 7/8

andrey2020 [161]4 years ago

4 0

Answer:

$\Large \boxed{3\frac{7}{8}}$

Step-by-step explanation:

Let the missing value be x.

$x+5\frac{3}{4} =9 \frac{5}{8}$

Subtract $5 \frac{3}{4}$ from both sides.

$x =9 \frac{5}{8} - 5 \frac{3}{4}$

Converting the mixed fractions to improper fractions.

$x =\frac{77}{8} - \frac{23}{4}$

Make denominators equal and subtract.

$x =\frac{77}{8} - \frac{46}{8}$

$x =\frac{77-46}{8}$

$x =\frac{31}{8}$

Converting the improper fraction into a mixed fraction.

$x=3\frac{7}{8}$

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Solve the system of equations using substitution y=x-1 and y=-2x+5

pav-90 [236]

Since the two equations equal y, set them equal to each other.

x-1=-2x+5

From there, solve for x.

First get x on one side, by using the addition property of equality.

x-1=-2x+5
3x-1=5

Isolate x by adding 1.
3x=6

Lastly get x all by itself by dividing each side by 3.
x=2

You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

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

OR

y=-2x+5
y=-2(2)+5
y=-4+5
y=1

Final answer:
x=2 and y=1

Any questions or anything you would like me to clarify, feel free to ask :)

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