Question

1. 3x + 2y = 10

Explanation:

To solve for \( y \) in terms of \( x \) (or vice - versa) from the equation \( 3x + 2y=10 \), we can follow these steps:

Step 1: Isolate the term with \( y \)

Subtract \( 3x \) from both sides of the equation.
The equation is \( 3x + 2y = 10 \). When we subtract \( 3x \) from both sides, we get:
\( 2y=10 - 3x \)

Step 2: Solve for \( y \)

Divide both sides of the equation \( 2y = 10-3x \) by 2.
\( y=\frac{10 - 3x}{2}\)
We can also simplify it as \( y = 5-\frac{3}{2}x \)

If we want to solve for \( x \) in terms of \( y \):

Step 1: Isolate the term with \( x \)

Subtract \( 2y \) from both sides of the equation \( 3x + 2y=10 \).
We obtain \( 3x=10 - 2y \)

Step 2: Solve for \( x \)

Divide both sides of the equation \( 3x = 10-2y \) by 3.
\( x=\frac{10 - 2y}{3}\)

If we assume we are solving for \( y \) in terms of \( x \), the answer is \( y = 5-\frac{3}{2}x \) (or \( y=\frac{10 - 3x}{2}\)); if we are solving for \( x \) in terms of \( y \), the answer is \( x=\frac{10 - 2y}{3}\)

Answer:

To solve for \( y \) in terms of \( x \) (or vice - versa) from the equation \( 3x + 2y=10 \), we can follow these steps:

Step 1: Isolate the term with \( y \)

Subtract \( 3x \) from both sides of the equation.
The equation is \( 3x + 2y = 10 \). When we subtract \( 3x \) from both sides, we get:
\( 2y=10 - 3x \)

Step 2: Solve for \( y \)

Divide both sides of the equation \( 2y = 10-3x \) by 2.
\( y=\frac{10 - 3x}{2}\)
We can also simplify it as \( y = 5-\frac{3}{2}x \)

If we want to solve for \( x \) in terms of \( y \):

Step 1: Isolate the term with \( x \)

Subtract \( 2y \) from both sides of the equation \( 3x + 2y=10 \).
We obtain \( 3x=10 - 2y \)

Step 2: Solve for \( x \)

Divide both sides of the equation \( 3x = 10-2y \) by 3.
\( x=\frac{10 - 2y}{3}\)

If we assume we are solving for \( y \) in terms of \( x \), the answer is \( y = 5-\frac{3}{2}x \) (or \( y=\frac{10 - 3x}{2}\)); if we are solving for \( x \) in terms of \( y \), the answer is \( x=\frac{10 - 2y}{3}\)