The solution to the system of equations is x = −1/2 and y = 1. Here's how to solve it: 1. Simplify the second equation: The second equation is 3y − 2y = 1. Combine the y terms: y = 1. 2. Substitute the value of y into the first equation: The first equation is 2x + 3y = 2. Substitute y = 1 into this equation: 2x + 3(1) = 2; 2x + 3 = 2 3. Solve for x: Subtract 3 from both sides: 2x = 2 − 3; 2x = −1 Divide by 2: x = −1/2

2x+3y=2 3y−2y=1

September 26, 2026Mathematics

ScanSolve AI Answer

Answer

The solution to the system of equations is x = -1/2 and y = 1.

Step-by-step solution

3 steps

Here's how to solve it:

Simplify the second equation
The second equation is $3y - 2y = 1$ .
Combine the $y$ terms: $y = 1$ .
Substitute the value of y into the first equation
The first equation is $2x + 3y = 2$ .
Substitute $y = 1$ into this equation:
$2x + 3(1) = 2$
$2x + 3 = 2$
Solve for x
Subtract 3 from both sides:
$2x = 2 - 3$
$2x = -1$
Divide by 2:
$x = -1/2$

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2x+3y=2 3y−2y=1

Answer

Step-by-step solution

Simplify the second equation

Substitute the value of y into the first equation

Solve for x

Try one yourself

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