Question

Select all the equations that are true when x = 6. 6x = 12 17 – x = 11 x ÷ 2 = 3 19 ÷ 3 = x 5 + x = 11

Answer 1

6x = 12

17 – x = 11

x ÷ 2 = 3

5 + x = 11

Answer 2

We are given –

• x = 6

In case of 1st equation –

$\qquad$ $\twoheadrightarrow\bf 6 \times x = 6 × 6$

$\qquad$ $\twoheadrightarrow\sf 6\times x = 12$

$\qquad$ $\purple{\twoheadrightarrow\bf L.H.S = R.H.S}$

• Hence, 6x = 12 is true! ☑

In case of 2nd equation –

$\qquad$ $\twoheadrightarrow\bf 17 – x = 11$

$\qquad$ $\twoheadrightarrow\sf 17-x = 17-6$

$\qquad$ $\twoheadrightarrow\sf 17-x = 11$

$\qquad$ $\purple{\twoheadrightarrow\bf L.H.S = R.H. S}$

• Hence, 17 – x = 11 is true! ☑

In case of 3rd equation –

$\qquad$ $\twoheadrightarrow\bf\dfrac{x }{2} = 3$

$\qquad$ $\twoheadrightarrow\sf \dfrac{x}{2}=\cancel{ \dfrac{6}{2}}$

$\qquad$ $\twoheadrightarrow\sf \dfrac{x} {2}=3$

$\qquad$ $\purple{\twoheadrightarrow\bf L.H.S=R.H.S}$

• Hence, x/2 = 3 is true! ☑

In case of 4th equation –

$\qquad$ $\twoheadrightarrow\bf \dfrac{19}{ 3} = x$

$\qquad$ $\twoheadrightarrow\sf \cancel{\dfrac{19}{ 3} }= x$

$\qquad$ $\twoheadrightarrow\sf 6.33= x$

$\qquad$ $\purple{\twoheadrightarrow\bf L.H.S≠R.H.S}$

• Hence, 19/3 = x is false ✖

In case of 5th equation –

$\qquad$ $\twoheadrightarrow\bf 5 + x = 11$

$\qquad$ $\twoheadrightarrow\sf 5+ x = 6 +5$

$\qquad$ $\twoheadrightarrow\sf 5+x= 11$

$\qquad$ $\purple{\twoheadrightarrow\bf L.H.S=R.H.S}$

• Hence, 5+x = 6 is true! ☑