Question $3x + 4y = 8$

Studdy Solution

STEP 1

1. The equation $3x + 4y = 8$ is a linear equation in two variables $x$ and $y$ .
2. We need to find the general solution for $x$ and $y$ or possibly solve for one variable in terms of the other.
3. The solution approach involves isolating one of the variables and expressing it in terms of the other.

STEP 2

1. Isolate $y$ in terms of $x$ .
2. Simplify the expression to obtain $y$ as a function of $x$ .

STEP 3

Starting with the given equation: $3x + 4y = 8$ Subtract $3x$ from both sides to isolate the term involving $y$ : $4y = 8 - 3x$

STEP 4

Divide both sides of the equation by 4 to solve for $y$ : $y = \frac{8 - 3x}{4}$ Simplify the right-hand side: $y = 2 - \frac{3x}{4}$

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