Mathematics: Gillian swears her computations for the following equations prove they do not intersect. Her brother who just finished learning about intersecting lines told her they definitely intersect because the slopes are different. Gillian remembered that logic from class and then decided she needed to be able to prove intersection by using algebra. Although there are multiple strategies, how might she prove intersection without graphing of the following equations? 4x +3y = 6 and 6x + 2y = 10

Gillian swears her computations for the following

dee024

11.07.2021

Step-by-step explanation:

Given

Two lines are 4x+3y=6 and 6x+2y=10

Two lines a_1x+b_1y=c_1 and a_2x+b_2y=c_2 will intersect when

$\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}$

for the given lines

a_1=4,a_2=6,b_1=3,b_2=2

$\therefore \dfrac{4}{6}\neq \dfrac{3}{2}\\\\\dfrac{2}{3}\neq\dfrac{3}{2}$

Hence, lines are intersecting

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burnsmykala23

14.07.2020

Interest = Rs 2000

Amount = Rs 7000

Step-by-step explanation:

Amount = Principal + Interest

Given

Principal = Rs 5000

Interest= PRT/100

Interest = 5000*8*5/100

Interest = 50*40

Interest = Rs 2000

Amount after 5years = 5000 + 2000

Amount after 5years = Rs 7000

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