# How do you write 7 – 3(x – y) = 5x + 2 in standard form?

Jun 11, 2018

$8 x - 3 y = 5$ is the standard form of equation.

#### Explanation:

$7 - 3 \left(x - y\right) = 5 x + 2$

Standard form of linear equation is $A x + B y = C$

$7 - 3 x + 3 y = 5 x + 2$

$5 x + 3 x - 3 y = 7 - 2$

$8 x - 3 y = 5$ is the standard form of equation.

Jun 11, 2018

$3 y - 8 x = - 5$

#### Explanation:

Standard form will be $a x + b y = c$ or $b y + a x = c$
Hence simplify the given equation first.

$7 - 3 \left(x - y\right) = 5 x + 2$

Open the brackets:

$7 - 3 x + 3 y = 5 x + 2$

Subtract $7$ both sides:

$7 - 7 - 3 x + 3 y = 5 x + 2 - 7$

$- 3 x + 3 y = 5 x - 5$

Subtract $5 x$ both sides:

$- 3 x - 5 x + 3 y = 5 x - 5 x - 5$

$- 8 x + 3 y = - 5$

Re-arranging and we get:

$3 y - 8 x = - 5$

Hope this helps!