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Let’s check out your problem:
Is
(
7
,
0
)
(7, 0)
(
7
,
0
)
a solution to the equation
y
=
x
+
7
y = x + 7
y
=
x
+
7
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
View step-by-step help
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Math Problems
Grade 8
Is (x, y) a solution to the linear equation?
Full solution
Q.
Is
(
7
,
0
)
(7, 0)
(
7
,
0
)
a solution to the equation
y
=
x
+
7
y = x + 7
y
=
x
+
7
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Substitute x-value calculation:
Step
1
1
1
: Substitute the x-value from the point
(
7
,
0
)
(7, 0)
(
7
,
0
)
into the equation
y
=
x
+
7
y = x + 7
y
=
x
+
7
.
\newline
Calculation:
y
=
7
+
7
=
14
y = 7 + 7 = 14
y
=
7
+
7
=
14
.
Compare
y
y
y
-values:
Step
2
2
2
: Compare the calculated
y
y
y
-value with the
y
y
y
-value from the point
(
7
,
0
)
(7, 0)
(
7
,
0
)
.
\newline
The point gives
y
=
0
y = 0
y
=
0
, but our calculation gives
y
=
14
y = 14
y
=
14
.
Final determination:
Step
3
3
3
: Since the
y
y
y
-values do not match,
(
7
,
0
)
(7, 0)
(
7
,
0
)
is not a solution to the equation
y
=
x
+
7
y = x + 7
y
=
x
+
7
.
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\newline
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\newline
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