Math  /  Algebra

Question5x+3y=155 x+3 y=15

Studdy Solution

STEP 1

1. The equation 5x+3y=15 5x + 3y = 15 is a linear equation in two variables, x x and y y .
2. We are tasked with solving for y y , meaning we need to express y y in terms of x x .
3. Basic algebraic operations such as addition, subtraction, and division will be used.

STEP 2

1. Isolate the term containing y y .
2. Solve for y y by performing algebraic operations.

STEP 3

To isolate the term containing y y , subtract 5x 5x from both sides of the equation:
5x+3y5x=155x 5x + 3y - 5x = 15 - 5x
This simplifies to:
3y=155x 3y = 15 - 5x

STEP 4

Now, solve for y y by dividing both sides of the equation by 3:
3y3=155x3 \frac{3y}{3} = \frac{15 - 5x}{3}
This simplifies to:
y=155x3 y = \frac{15 - 5x}{3}
The solution for y y in terms of x x is:
y=155x3 y = \frac{15 - 5x}{3}

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