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Let’s check out your problem:
If
3
x
+
4
y
=
7
3x+4y=7
3
x
+
4
y
=
7
, which of the following expressions is equivalent to
y
y
y
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
3
x
+
7
-3x+7
−
3
x
+
7
\newline
(B)
−
3
4
x
\frac{-3}{4}x
4
−
3
x
+
+
+
7
4
\frac{7}{4}
4
7
\newline
(C)
3
4
x
\frac{3}{4}x
4
3
x
+
+
+
7
4
\frac{7}{4}
4
7
\newline
(D)
3
x
+
7
3x+7
3
x
+
7
View step-by-step help
Home
Math Problems
Algebra 1
Multiplication with rational exponents
Full solution
Q.
If
3
x
+
4
y
=
7
3x+4y=7
3
x
+
4
y
=
7
, which of the following expressions is equivalent to
y
y
y
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
3
x
+
7
-3x+7
−
3
x
+
7
\newline
(B)
−
3
4
x
\frac{-3}{4}x
4
−
3
x
+
+
+
7
4
\frac{7}{4}
4
7
\newline
(C)
3
4
x
\frac{3}{4}x
4
3
x
+
+
+
7
4
\frac{7}{4}
4
7
\newline
(D)
3
x
+
7
3x+7
3
x
+
7
Isolate y:
Isolate
y
y
y
in the equation
3
x
+
4
y
=
7
3x + 4y = 7
3
x
+
4
y
=
7
.
\newline
Subtract
3
x
3x
3
x
from both sides:
\newline
4
y
=
7
−
3
x
4y = 7 - 3x
4
y
=
7
−
3
x
Subtract
3
x
3x
3
x
:
Solve for
y
y
y
by dividing all terms by
4
4
4
.
\newline
y
=
7
−
3
x
4
y = \frac{7 - 3x}{4}
y
=
4
7
−
3
x
Solve for y:
Simplify the expression for y.
\newline
y
=
−
(
3
4
)
x
+
(
7
4
)
y = -\left(\frac{3}{4}\right)x + \left(\frac{7}{4}\right)
y
=
−
(
4
3
)
x
+
(
4
7
)
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3
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\newline
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or
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B
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, where
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Write your answer in the form
A
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or
A
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\frac{A}{B}
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, where
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A
A
and
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\newline
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