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OpenStudy (anonymous):
What is the value of z for the equation 1/2z = −3/4 + 1/4z
−3
−1
1
3
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OpenStudy (anonymous):
@paki
OpenStudy (perl):
is this the question:
$$ \Large \rm \frac12 z = \frac{−3}{4} + \frac{1}{4}z
$$
OpenStudy (anonymous):
\[-\frac{ 3 }{ 4 }\]
OpenStudy (anonymous):
with a - sign infront
OpenStudy (perl):
like this?
$$ \Large \rm \frac12 z = -\frac{3}{4} + \frac{1}{4}z
$$
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OpenStudy (anonymous):
yea
OpenStudy (perl):
ok multiply both sides by 4
OpenStudy (anonymous):
2z=-3/4+1?
OpenStudy (perl):
almost
OpenStudy (perl):
$$ \Large \rm {
\frac12 z = -\frac{3}{4} + \frac{1}{4}z
\\ \color{red}4\cdot \frac12 z =\color{red}4 \cdot \left( \frac{−3}{4} + \frac{1}{4}z \right)
\\ \frac42 z =\color{red}4 \cdot \frac{−3}{4} + \color{red}4 \cdot \frac{1}{4}z
\\ 2 z = \cancel {\color{red}4} \cdot \frac{−3}{\cancel4} + \cancel{\color{red}4} \cdot \frac{1}{\cancel4}z
}
$$
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OpenStudy (anonymous):
so 2z=-3+1z
OpenStudy (perl):
correct
OpenStudy (perl):
now solve for z
OpenStudy (anonymous):
x=-6?
OpenStudy (anonymous):
−3
−1
1
3
those are the choices
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