Question

Solve the system of equations algebraically -5x+2y=4 2x+3y=6

Answer 1

Explanation:

-5x+2y= 4 <==== Multiply entire equation by -3 to get:

15x-6y = -12

2x+3y= 6 <==== Multiply entire equation by 2 to get :

4x+6y = 12 Add the two underlined equations to eliminate 'y'

19x = 0 so x = 0

sub in x = 0 into any of the equations to find: y = 2

(0,2)

Answer 2

(-5x+2y=4).2
(2x+3y=6).5

-10x+4y=8
10x+15y=30

[10x+(-10x)]+[15y+4y]=[30+8]

19y=38

y=38/19

y=2

2x+3y=6
2x+3(2)=6
2x=6-6=0

x=0