125k views
0 votes
Solve the following equation for x: 5x+3y=15

1 Answer

3 votes

Final answer:

To solve the equation 5x + 3y = 15 for x, we substitute the given relation y = 9 + 3x into this equation, simplify and solve for x, leading to the solution x = -6/7.

Step-by-step explanation:

To solve the equation 5x + 3y = 15 for x, we need to isolate x on one side of the equation. We are given another equation y = 9 + 3x, which allows us to substitute the value of y from the latter equation into the first one. Doing so, we get:

5x + 3(9 + 3x) = 15

Distributing the 3, we have:

5x + 27 + 9x = 15

Combining like terms, we get:

14x + 27 = 15

Subtracting 27 from both sides gives us:

14x = 15 - 27

14x = -12

Finally, dividing both sides by 14 yields:

x = -\frac{12}{14}

Reducing the fraction, we get:

x = -\frac{6}{7}

Therefore, the solution to the equation, given the constraint y = 9 + 3x, is x = -\frac{6}{7}.

User Myria
by
7.4k points