The values of a and b respectively of the two given algebraic equations are; 12 and 9.
We are given the equations;
b = ³/₄a ------(eq 1)
a + b = 21 -----(eq 2)
Put ³/₄a for b in eq 2 algebra to get;
a + ³/₄a = 21
⁷/₄a = 21
Multiply both sides by 4 to get;
7a = 84
a = 84/7
a = 12
b = ³/₄ * 12
b = 9
Thus, we conclude that the values of a and b respectively are 12 and 9.
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