Question

2x plus 3 y is equal to 17 and 3 x minus 2 y is equal to 6 cross multiplication method

Answer 1

Answer:

y=3

Explanation:

2x+3y=17

3x-2y=6

a1=2, b1=3, c1=-17

a2=3, b2=-2, c2=-6

x=b1c2 - b2c1 ÷a1b2 - a2b1

x=(3)(-6) - (-2)(-17) ÷ (2)(-2) - (3)(3)

x= -18-34 ÷ -4-9

x=-52 ÷ -13

x=52÷13

x=4

y=c1a2 - c2a1 ÷ a1b2 - a2b1

y=(-17)(3) - (-6)(2) ÷(2)(-2) - (3)(3)

y= -51+12 ÷ -4-9

y= -39 ÷ -13

y= 39 ÷ 13

y=3

substitute x=4 in 2x+3y =17

2x+3y=17

2×4 + 3×y =17

8 + 3y =17

3y=17-8

3y=9

y=9÷3

y=3