Mathematics: Find the intersection point between the lines of equations:2x-y+6=0 and 2x+3y-6=0

Find the intersection point between the lines of

odalyarreola18

03.07.2021

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

$\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0$

On subtracting the given equations we have,

$\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3$

Put this value in any equation , we have ,

$\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5$

Hence the lines will Intersect at ,

$\implies\underline{\underline{ Point=(-1.5, 3)}}$

0,0(0 оценок)

halledoll2002

24.03.2020

x + y = 25

x - y = 7

2x = 32

x = 16

y = 25 - 16 = 9

0,0(0 оценок)