Question

2 An equation is shown. 2/3x - 7=11 What value of x makes the equation true? MARK BRAINLY

Answer 1

$\huge\text{Hey there!}$

$\mathsf{\dfrac{2}{5}x-7=11}$

$\large\textsf{ADD 7 to BOTH SIDES}$

$\mathsf{\dfrac{2}{5}x -7+7=11+7}$

$\large\textsf{CANCEL out: -7 + 7 because that gives you 0}$

$\large\textsf{KEEP: 11 + 7 because it helps you solve for your x-value}$

$\mathsf{11 + 7 = 18}$

$\large\text{New EQUATION: }\mathsf{\dfrac{2}{5}x = 18}$

$\large\textsf{MULTIPLY }\mathsf{\dfrac{5}{2}}\large\textsf{ to BOTH SIDES }$

$\mathsf{\dfrac{2}{5}x \times \dfrac{5}{2}=\dfrac{5}{2}\times18}$

$\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{2}\times\dfrac{2}{5}}\large\textsf{ because it gives you 1}$

$\large\textsf{KEEP: }\mathsf{\dfrac{5}{2}\times 18}\large\textsf{ because it solves for x}$

$\large\textsf{New EQUATION: }\mathsf{x =18\times\dfrac{5}{2}}$

$\mathsf{18\times\dfrac{5}{2}=x}$

$\mathsf{18\times\dfrac{5}{2}=\bf 45}$

$\boxed{\boxed{\large\textsf{Answer: \huge \bf Option J. 45}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

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