Question

equations by substitution
1. y=5-2x
3x-2y=4

2. 5x-4y=13
3x-2y=4

3. 3x-2y=7
4x+y=2


workings with answers

Answer 1

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1. 2x + y =5......1

3x - 2y =4.........2

multiply 1 by 2

4x + 2y = 10........3

add 2 &3

7x = 14

x = 2

put x=2 in 1

4 + y =5

y=1

2. 5x - 4y =13.......1

3x - 2y =4.........2

multiply 2 by 2

6x - 4y = 8.........3

sub. 1 from 3

x = -5

put x=-5 in 2

-15 - 2y = 4

-2y = 19

y = - 19/2

3.3x - 2y = 7........ 1

4x + y =2............ 2

multiply 2 by 2

8x + 2y =4......... 3

add 1&3

11x = 11

x = 1

put x=1 in 2

4 + y = 2

y = 2

Answer 2

Answer:

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