Question
Solve the equation
a=38
Alternative Form
a=2.6˙
Evaluate
89(4−21a)=3
Multiply the terms
More Steps

Evaluate
89(4−21a)
Apply the distributive property
89×4−89×21a
Multiply the numbers
More Steps

Evaluate
89×4
Reduce the numbers
29×1
Multiply the numbers
29
29−89×21a
Multiply the numbers
More Steps

Evaluate
89×21
To multiply the fractions,multiply the numerators and denominators separately
8×29
Multiply the numbers
169
29−169a
29−169a=3
Move the constant to the right-hand side and change its sign
−169a=3−29
Subtract the numbers
More Steps

Evaluate
3−29
Reduce fractions to a common denominator
23×2−29
Write all numerators above the common denominator
23×2−9
Multiply the numbers
26−9
Subtract the numbers
2−3
Use b−a=−ba=−ba to rewrite the fraction
−23
−169a=−23
Change the signs on both sides of the equation
169a=23
Multiply by the reciprocal
169a×916=23×916
Multiply
a=23×916
Solution
More Steps

Evaluate
23×916
Reduce the numbers
21×316
Reduce the numbers
1×38
Multiply the numbers
38
a=38
Alternative Form
a=2.6˙
Show Solution
