Question

2x-3y=5 3x+4y=-1 what is the linear equation

Answer 1

Answer:

x = 1

y = -1

Step-by-step explanation:

(2x - 3y = 5) × 4 ------ (i)

8x - 12y = 20 ----- (ii)

(3x + 4y = -1) × 3 ------- (iii)

9x + 12y = -3 ----- (iv)

Using Elimination method,

Add (ii) and (iv),

8x - 12y + 9x + 12y =20 + (- 3)

17x = 20 - 3

17x  = 17

x = $\frac{17}{17}$

x = 1

9x + 12y = -3

9(1) + 12y = -3

9 + 12y = -3

12y = -3 - 9

12y = -12

y = $\frac{-12}{12}$

y = -1