Answer:x=−
3150
899
≈−0.285396825
Explanation:
315x−
20
7
+
4
1
=−90
Least common multiple of 20 and 4 is 20. Convert −
20
7
and
4
1
to fractions with denominator 20.
315x−
20
7
+
20
5
=−90
Since −
20
7
and
20
5
have the same denominator, add them by adding their numerators.
315x+
20
−7+5
=−90
Add −7 and 5 to get −2.
315x+
20
−2
=−90
Reduce the fraction
20
−2
to lowest terms by extracting and canceling out 2.
315x−
10
1
=−90
Add
10
1
to both sides.
315x=−90+
10
1
Convert −90 to fraction −
10
900
.
315x=−
10
900
+
10
1
Since −
10
900
and
10
1
have the same denominator, add them by adding their numerators.
315x=
10
−900+1
Add −900 and 1 to get −899.
315x=−
10
899
Divide both sides by 315.
x=
315
−
10
899
Express
315
−
10
899
as a single fraction.
x=
10×315
−899
Multiply 10 and 315 to get 3150.
x=
3150
−899
Fraction
3150
−899
can be rewritten as −
3150
899
by extracting the negative sign.
x=−
3150
899