Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 09, 2024

Solve for x in the equation $7=2(x+y)$ . The solutions are $x=7/2-y$ , $x=2/7+y$ , $x=2/7-y$ , and $x=7/2+y$ .

STEP 1

Assumptions
1. We are given the equation $7 = 2(x + y)$ .
2. We need to solve for $x$ in terms of $y$ .

STEP 2

First, we need to isolate the term with $x$ on one side of the equation. We can do this by dividing both sides of the equation by 2.
$\frac{7}{2} = \frac{2(x + y)}{2}$

STEP 3

Simplify the right side of the equation by canceling out the 2s.
$\frac{7}{2} = x + y$

STEP 4

Now, we need to isolate $x$ by subtracting $y$ from both sides of the equation.
$x = \frac{7}{2} - y$

STEP 5

We have successfully isolated $x$ and expressed it in terms of $y$ .
$x = \frac{7}{2} - y$
The correct solution is:
$x = \frac{7}{2} - y$

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