Question

if 2x+3y=4 and 5x+4y=7 how to find x and y
$2x + 3y = 4$
$5x + 4y = 7$
Help me please!!!! ​

Answer 1

Step-by-step explanation:

2x+3y=4........1

5x+4y=7.........2

multiplying equation 1 by 4 and equation 2 by 3 we get

8x+12y=16.....3

15x+12y=21....4

subtracting equation 4 from 3

8x+12y=16.....3

15x+12y=21....4

-. -. -

___________

-7x =-5

minus get cancelled

x=5/7

substituting x=5/7 in equation 1

2(5/7)+3y=4

10/7+3y=4

3y=4-10/7

cross multiplying

3y=28-10

____

7

3y=10/7

y=10/7×3

y=10/21

this would be your answer