inverse of y=-8/7 x+8 — step-by-step solution

The slope

- \frac{8}{7}

is nonzero: the function is bijective on ℝ

We exchange

x

and

y

, then solve for

y

x = - \frac{8}{7} \cdot y + 8

Let's solve in

ℝ

- \frac{8}{7} \cdot y + 8 = x

- \frac{8 y}{7} + 8 = x

Let's add fractions:

- \frac{8 y}{7} + 8 - x = 0

\frac{- 8 y + 8 \cdot 7}{7} - x = 0

ℹ

8 \cdot 7

56

‖

\frac{- 8 y + 56}{7} - x

\frac{(- 8 y + 56) - x \cdot 7}{7}

\frac{(- 8 y + 56) - x \cdot 7}{7} = 0

\frac{- 8 y + 56 - x \cdot 7}{7} = 0

Let's solve in

ℝ

- 8 y + 56 - x \cdot 7 = 0

- 8 y = - 56 + x \cdot 7

y = \frac{- 56 + x \cdot 7}{-8}

y = - \frac{- 56 + x \cdot 7}{8}

y = \frac{56 - x \cdot 7}{8}

▶Solution obtained:

y = \frac{56 - 7 x}{8}