144k views
3 votes
Solve

b = 3/4a
a + b = 21


Solve b = 3/4a a + b = 21 ​-example-1

2 Answers

3 votes

Answer:

a=12

b=9

Step-by-step explanation: Just did it on i-ready and got it right.

User Isxpjm
by
5.5k points
4 votes

Answer:

(12, 9)

Explanation:

Please enclose fractions inside parentheses in cases such as this one. You meant b = (3/4)a, not b = 3/(4a).

To solve this system, subst. (3/4)a for b in the 2nd equation, obtaining:

a + (3/4)a = 21.

Mult. all 3 terms by 4 to eliminate the fraction 3/4:

4a + 3a = 84

combining like terms: 7a = 84

Solving for a: a = 84/7 = 12.

If a = 12, b = (3/4)a = (3/4)(12) = 9

The solution is (12, 9)

User Peter Farmer
by
4.7k points
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