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Let’s check out your problem:
Does
(
0
,
9
)
(0, 9)
(
0
,
9
)
make the equation
y
=
x
+
9
y = x + 9
y
=
x
+
9
true?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
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Math Problems
Algebra 1
Does (x, y) satisfy the linear equation?
Full solution
Q.
Does
(
0
,
9
)
(0, 9)
(
0
,
9
)
make the equation
y
=
x
+
9
y = x + 9
y
=
x
+
9
true?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Identify Values:
Identify the values of
x
x
x
and
y
y
y
in the point
(
0
,
9
)
(0,9)
(
0
,
9
)
.
\newline
Compare
(
x
,
y
)
(x,y)
(
x
,
y
)
and
(
0
,
9
)
(0,9)
(
0
,
9
)
.
\newline
x
=
0
x = 0
x
=
0
\newline
y
=
9
y = 9
y
=
9
Substitute Values:
Substitute the values of
x
x
x
and
y
y
y
into the equation
y
=
x
+
9
y = x + 9
y
=
x
+
9
.
\newline
Substitute
0
0
0
for
x
x
x
and
9
9
9
for
y
y
y
in
y
=
x
+
9
y = x + 9
y
=
x
+
9
.
\newline
Equation after substitution:
9
=
0
+
9
9 = 0 + 9
9
=
0
+
9
Simplify Equation:
Simplify the right side of the equation.
\newline
Simplify
0
+
9
0 + 9
0
+
9
to get
9
9
9
.
\newline
Equation:
9
=
9
9 = 9
9
=
9
Determine Truth:
Determine if the simplified equation is true.
\newline
Since
9
=
9
9 = 9
9
=
9
is a true statement, the point
(
0
,
9
)
(0, 9)
(
0
,
9
)
does satisfy the equation
y
=
x
+
9
y = x + 9
y
=
x
+
9
.
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\newline
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\newline
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