The solution is y=(7a+9b)÷8
Step-by-step explanation:
Given equation is;
[tex]\frac{2y-a}{3}=\frac{a+3b}{4}[/tex]
Multiplying both sides by 12;
[tex]12*\frac{2y-a}{3}=\frac{a+3b}{4}*12\\4(2y-a)=3(a+3b)\\8y-4a=3a+9b\\8y=3a+4a+9b\\8y=7a+9b[/tex]
Dividing both sides by 8;
[tex]\frac{8y}{8}=\frac{7a+9b}{8}\\y=\frac{7a+9b}{8}[/tex]
The solution is y=(7a+9b)÷8
Keywords: linear equations, variable
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