Question

Solve by substitution method: 2x+3y = 5
3x+2y = 5​

Answer 1

Answer:

x = 1, y = 1

Step-by-step explanation:

2x + 3y = 5

2x = 5 - 3y

$x = \frac{5 - 3y}{2}$

Now, 3x + 2y = 5

$3( \frac{5 - 3y}{2} ) + 2y = 5 \\ \frac{3(5 - 3y) + 2(2y)}{2} = 5 \\ 15 - 9y + 4y = 5 \times 2 \\ 15 - 5y = 10 \\ 5y = 15 - 10 = 5 \\ y = 1$

$x = \frac{5 - 3(1)}{2} = \frac{5 - 3}{2} = \frac{2}{2} = 1$