Question

solve the system of equation 2x+3y=11and 2x-4y=-24 by substitution method

Answer 1

Answer:

Step-by-step explanation:

2x+3y=11.

2x=11-3y

x=11-3y/2. (1)

2x-4y=-24

Putting the value of x in (1).

2(11-3y)/2-4y=-24

22-6y/2-4y=-24

2(11-3y)/2-4y=-24

11-3y-4y=-24

-7y=-24-11

-7y=-35

y=-35/-7

=5

Putting the value of y in (1),we get

x=11-3(5)/2

=11-15/2

=-4/2

x=-2.

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Answer 2

Answer:

x=-2

y=5

Step-by-step explanation:

2x+3y=11.........1

2x-4y=-24.........2

From 2

2x=4y-24

 x=2y-12.......3

sub 3 into 1

2x+3y=11

2(2y-12)+3y=11

4y-24+3y=11

7y=35

y=5

sub y=5 into 3

x=2(5)-12

x=10-12

x=-2