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

Question

asked Feb 28, 2024 177k views

2 Answers

Willw · Answer 1 · 2024-02-29T06:59:43+0000

Answer:

[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)

MKroeders · Answer 2 · 2024-03-04T21:28:47+0000

Answer:

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

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:

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