Step 1: Write the given equation. The equation provided is: 2x + 3y = 17 Step 2: Isolate the term containing y. Subtract 2x from both sides of the equation: 3y = 17 − 2x Step 3: Solve for y. Divide both sides by 3: y = (17 − 2x)/(3) This can also be written as: y = 17/3 − 2/3x Since there is only one equation with two variables, x and y, we cannot find unique numerical values for x and y. The solution expresses y in terms of x (or vice versa). The solution for y in terms of x is: y = (17 − 2x)/(3)

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2x + 3y = 17

June 2, 2026Mathematics

ScanSolve AI Answer

Answer

y = \frac{17 - 2x}{3}

Step-by-step solution

3 steps

Write the given equation.
The equation provided is:
$2x + 3y = 17$
Isolate the term containing $y$ .
Subtract $2x$ from both sides of the equation:
$3y = 17 - 2x$
Solve for $y$ .
Divide both sides by 3:
$y = \frac{17 - 2x}{3}$
This can also be written as:
$y = \frac{17}{3} - \frac{2}{3}x$
Since there is only one equation with two variables, $x$ and $y$ , we cannot find unique numerical values for $x$ and $y$ . The solution expresses $y$ in terms of $x$ (or vice versa).

The solution for $y$ in terms of $x$ is: