Question

solve the following equation by using cross multiplication method 2x+5y=1 2x+3y=3​

Answer 1

Step-by-step explanation:

2x + 5y =1

2x + 3y = 3

a1 = 2 b1 =5 c1 = - 1

a2=2 b2=3 c2 = - 3

x/(b1c2 - b2c1) = 1/(a1b2 - a2b1)

x/(5×(-3) - 3×(-1)) = 1/(2×3 - 2×5)

x/(-15-(-3)) = 1/(6-10)

x/(-15+3) = 1/(-4)

x/(-12) = 1/(-4)

x = -12/-4

x = 3

y/(c1a2 - c2a1) = 1/(a1b2 - a2b1)

y/(-1×2 - (-3)×2) = 1/(2×3 - 2×5)

y/(-2 - (-6)) = 1/(6 - 10)

y/(-2+6) = 1/(-4)

y/4 = 1/(-4)

y = 4/(-4)

y = - 1