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Formula
Solve the equation
Graph
$y = 0.1 x + 0.7$
$y = 1$
$x$Intercept
$\left ( - 7 , 0 \right )$
$y$Intercept
$\left ( 0 , \dfrac { 7 } { 10 } \right )$
$0.1x+0.7 = 1$
$x = 3$
 Solve a solution to $x$
$\color{#FF6800}{ 0.1 } \color{#FF6800}{ x } + 0.7 = 1$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { x } { 10 } } + 0.7 = 1$
$\dfrac { x } { 10 } + \color{#FF6800}{ 0.7 } = 1$
 Convert decimals to fractions 
$\dfrac { x } { 10 } + \color{#FF6800}{ \dfrac { 7 } { 10 } } = 1$
$\color{#FF6800}{ \dfrac { x } { 10 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 7 } { 10 } } = \color{#FF6800}{ 1 }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 } = \color{#FF6800}{ 10 }$
$x \color{#FF6800}{ + } \color{#FF6800}{ 7 } = 10$
 Move the constant to the right side and change the sign 
$x = 10 \color{#FF6800}{ - } \color{#FF6800}{ 7 }$
$x = \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 7 }$
 Subtract $7$ from $10$
$x = \color{#FF6800}{ 3 }$
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