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Let’s check out your problem:
Determine the value of
y
y
y
, if
x
x
x
is
10
10
10
.
\newline
y
=
∣
x
∣
−
5
y=|x|-5
y
=
∣
x
∣
−
5
\newline
Answer:
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Math Problems
Grade 7
Evaluate absolute value expressions
Full solution
Q.
Determine the value of
y
y
y
, if
x
x
x
is
10
10
10
.
\newline
y
=
∣
x
∣
−
5
y=|x|-5
y
=
∣
x
∣
−
5
\newline
Answer:
Identify Given Values:
Identify the given values and the equation to use.
\newline
We are given the equation
y
=
∣
x
∣
−
5
y = |x| - 5
y
=
∣
x
∣
−
5
and the value of
x
x
x
is
10
10
10
.
Substitute Value:
Substitute the value of
x
x
x
into the equation.
\newline
Since
x
x
x
is
10
10
10
, we substitute
10
10
10
for
x
x
x
in the equation to get
y
=
∣
10
∣
−
5
y = |10| - 5
y
=
∣10∣
−
5
.
Calculate Absolute Value:
Calculate the absolute value of
x
x
x
. The absolute value of
10
10
10
is
10
10
10
, so
∣
10
∣
=
10
|10| = 10
∣10∣
=
10
.
Perform Subtraction:
Perform the subtraction to find the value of
y
y
y
.
\newline
Now we have
y
=
10
−
5
y = 10 - 5
y
=
10
−
5
, which simplifies to
y
=
5
y = 5
y
=
5
.
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