Question

Solve. 2a + 3b = 5 6= a -5 a = 4 b = -1 1 a = 6 b=1 a=6 6 = -1 a=4 6 = 1

Answer 1

Substitute a-5 for b in equation 2a+3b= 5 to obtain the value a.

`\begin{gathered} 2a+3\cdot(a-5)=5 \\ 2a+3a-15=5 \\ 5a=20 \\ a=4 \end{gathered}`

Substitute 4 for a in the equation b = a -5 to obtain the value of b.

`\begin{gathered} b=4-5 \\ =-1 \end{gathered}`

So correct answer is a = 4 and b = -1.