It is known that the equation $ax + (b - 3)= (5a - 1)x+3b$ has more than one solution. Find the value of $100a + 4b$.
2026-04-01 10:14:10.1775038450
It is known that the equation $ax + (b - 3)= (5a - 1)x+3b$ has more than one solution. Find the value of $100a + 4b$.
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Hint: the only way this can happen is if the coefficient of $x$ is $0$. Then $x$ can have any value you want. This tells you what $a$ is. Now remove the term because it is zero and you have an equation in $b$. Solve it.
Added: you rearrange it to $(4a-1)x=-2b-3$ This gives $a=\frac 14$. Now if $b=-\frac 32$ the equation is satisfied whatever the value of $x$. We then evaluate $100+4b$ to get $94$