Question

100 Points!! 0_0

Answer 1

$5\sqrt{3x+1} = 10\\\\\implies \sqrt{3x+1} = \dfrac{10}5 \\\\\implies \sqrt{3x+1} = 2 \\\\\implies 3x +1 = 4\\\\\implies 3x = 4-1 \\\\\implies 3x = 3\\\\\implies x =1$

Answer 2

Answer:

x = 1

Step-by-step explanation:

Given equation:

$\dfrac{5(3x+1)^1}{2} =10$

If a term has "1" as it's exponent, it means that it's the number itself. Therefore, we can remove the "exponent".

$:\implies\dfrac{5(3x+1)}{2} =10$

Simplify the distributive property:

$:\implies\dfrac{15x+5}{2} =10$

Using cross multiplication:

$:\implies15x+5} =10 \times 2$

Simplify the R.H.S:

$:\implies15x+5} =20$

Subtract 5 both sides:

$:\implies15x+5 - 5} =20 - 5$

Simplify both sides:

$:\implies15x} =15$

Divide 15 both sides:

$:\implies\dfrac{15x}{15} } =\dfrac{15}{15}$

Simplify both sides:

$:\implies x= 1$