Question

Solve x∕4 + y∕3 = 1 for x.

Answer 1

To solve the equation x/4 + y/3 = 1 for x, subtract y/3 from both sides, multiply through by 4 to eliminate the fraction, and finally distribute the 4 to get x in terms of y as x = 4 - (4y/3).

Step-by-step explanation:

To solve the equation x/4 + y/3 = 1 for x, first we will isolate x on one side of the equation.

Begin by subtracting y/3 from both sides of the equation: x/4 = 1 - y/3.

To eliminate the fraction, multiply both sides by 4, the denominator of x, which gives: x = 4(1 - y/3).

Finally, distribute the 4 into the parentheses to simplify the equation: x = 4 - (4y/3).

The equation for x in terms of y is therefore: x = 4 - (4y/3).

Answer 2

x =
`(12-4y)/(3)`

Step-by-step explanation:

Given

`(x)/(4)` +
`(y)/(3)` = 1

Multiply through by 12 to clear the fractions

3x + 4y = 12 ( subtract 4y from both sides )

3x = 12 - 4y ( divide both sides by 3 )

x =
`(12-4y)/(3)`