qanda-logo
search-icon
Symbol

Calculator search results

Solve the equation
Answer
circle-check-icon
expand-arrow-icon
expand-arrow-icon
expand-arrow-icon
expand-arrow-icon
expand-arrow-icon
Graph
$y = \dfrac { 5 } { 6 } x + 1$
$y = 0.5 x + \dfrac { 7 } { 6 }$
$x$Intercept
$\left ( - \dfrac { 6 } { 5 } , 0 \right )$
$y$Intercept
$\left ( 0 , 1 \right )$
$x$Intercept
$\left ( - \dfrac { 7 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , \dfrac { 7 } { 6 } \right )$
$x = \dfrac { 1 } { 2 }$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 6 } } } \color{#FF6800}{ x } + 1 = 0.5 x + \dfrac { 7 } { 6 }$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } \color{#FF6800}{ x } } { \color{#FF6800}{ 6 } } } + 1 = 0.5 x + \dfrac { 7 } { 6 }$
$\dfrac { 5 x } { 6 } + 1 = \color{#FF6800}{ 0.5 } \color{#FF6800}{ x } + \dfrac { 7 } { 6 }$
$ $ Calculate the multiplication expression $ $
$\dfrac { 5 x } { 6 } + 1 = \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 2 } } } + \dfrac { 7 } { 6 }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } \color{#FF6800}{ x } } { \color{#FF6800}{ 6 } } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 7 } } { \color{#FF6800}{ 6 } } }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } = \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 }$
$5 x + 6 = \color{#FF6800}{ 3 } \color{#FF6800}{ x } + 7$
$ $ Move the variable to the left-hand side and change the symbol $ $
$5 x + 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 7$
$5 x \color{#FF6800}{ + } \color{#FF6800}{ 6 } - 3 x = 7$
$ $ Move the constant to the right side and change the sign $ $
$5 x - 3 x = 7 \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 7 - 6$
$ $ Organize the expression $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = 7 - 6$
$2 x = \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Subtract $ 6 $ from $ 7$
$2 x = \color{#FF6800}{ 1 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 1 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } }$
Solution search results
Have you found the solution you wanted?
Try again
Try more features at Qanda!
check-iconSearch by problem image
check-iconAsk 1:1 question to TOP class teachers
check-iconAI recommend problems and video lecture