Question

Convert the following equation into

standard form.
y =
-TX +
+5
[? ]x + [ ]y = []
Enter the coefficient of x as a positive number.

Answer 1

[7/9]x + [1]y = 5

Explanation:

x must be translated to the other side of the equation,

`y = -(7)/(9) x + 5`

`y + (7)/(9) x = -(7)/(9) x + 5 + (7)/(9) x` (add to both sides)

`y + (7)/(9) x = 5` (solve)

`(7)/(9) x + y = 5` (communitive property)

Answer 2

`\sf [7]x + [9]y = [45]`

Explanation:

To find equation in standard form:

`\sf y = - (7x)/(9)+5`

Solution:

The standard form of a linear equation is:

Ax + By = C

where A, B, and C are constants.

The equation given can be rewritten in standard form by following ways:

`\sf y = - (7x)/(9)+5`

Multiplying both sides of the equation by 9, which is the coefficient of the y term.

`\sf y * 9 = - (7x)/(9) * 9+5* 9`

`\sf 9y = -7x +45`

Add 7x on both sides:

`\sf 7x + 9y = -7x +45+7x`

`\sf 7x + 9y = 45`

Therefore, Equation in standard form is:

`\sf [7]x + [9]y = [45]`