solve 2-z /17-4z =4/5
Answers
Answer:
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Step-by-step explanation:
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answer...
ombine multiplied terms into a single fraction
2
−
1
⋅
1
7
−
4
=
4
5
2-1 \cdot \frac{z}{17}-4z=\frac{4}{5}
2−1⋅17z−4z=54
2
+
−
1
7
−
4
=
4
5
2+\frac{-z}{17}-4z=\frac{4}{5}
2+17−z−4z=54
2
Subtract
2
2
2
from both sides of the equation
2
+
−
1
7
−
4
=
4
5
2+\frac{-z}{17}-4z=\frac{4}{5}
2+17−z−4z=54
2
+
−
1
7
−
4
−
2
=
4
5
−
2
2+\frac{-z}{17}-4z{\color{#c92786}{-2}}=\frac{4}{5}{\color{#c92786}{-2}}
2+17−z−4z−2=54−2
3
Simplify
Subtract the numbers
Subtract the numbers
−
1
7
−
4
=
−
6
5
\frac{-z}{17}-4z=-\frac{6}{5}
17−z−4z=−56
4
Multiply all terms by the same value to eliminate fraction denominators
−
1
7
−
4
=
−
6
5
\frac{-z}{17}-4z=-\frac{6}{5}
17−z−4z=−56
1
7
(
−
1
7
−
4
)
=
1
7
(
−
6
5
)
17(\frac{-z}{17}-4z)=17(-\frac{6}{5})
17(17−z−4z)=17(−56)
5
Simplify
Distribute
Cancel multiplied terms that are in the denominator
Combine like terms
Multiply the numbers
−
6
9
=
−
1
0
2
5
-69z=-\frac{102}{5}
−69z=−5102
6
Divide both sides of the equation by the same term
−
6
9
=
−
1
0
2
5
-69z=-\frac{102}{5}
−69z=−5102
−
6
9
−
6
9
=
−
1
0
2
5
−
6
9
\frac{-69z}{{\color{#c92786}{-69}}}=\frac{-\frac{102}{5}}{{\color{#c92786}{-69}}}
−69−69z=−69−5102
7
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
4
1
1
5
solution :Solution
z=34/115
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