Question

what are the co-ordinates of the point of intersection of the lines x + 3y =7;2x + y = -1​

Answer 1

Answer:

x = -2. y = 3.

Step-by-step explanation:

$x + 3y = 7$

$2x + y = - 1$

$x = 7 - 3y$

$2(7 - 3y) + y = - 1$

$14 - 6y + y = - 1$

$14 - 5y = - 1$

$5y = 15$

$y = 3$

$x = 7 - 3(3)$

$x = 7 - 9$

$x = - 2$

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Answer 2

YOUR ANSWER IS (-2,3)

X+3Y=7

multiply it by 2

2X+6Y=14 ..........1

2X+Y=-1..............2

subtract eq 1 from 2

5Y=15

Y=3

put value in eq 1 of y

2X+18=14

2X=-4

X=-2

coordinates of intersection is (X,Y)

so it is (-2,3)