Question

3x+4y=10 : 4x+3y=54 solve​

Answer 1

Step-by-step explanation:

3x+4y=10-------(1)

4x+3y=54--------(2)

(1)×4=12x+16y=40

(2)×3=12x+9y=162

(-) (-) (-)

--------------------------

7y= -122

y= -122/7

putting the value of y in equation (1) we can get

3x+4y=10

=>3x+4(-122/7)=10

=>3x-488/7=10

=>3x=10+488/7

=>3x=(70+488)/7

=>3x=558/7

=> x=558/7×1/3

=>x= 186/7

Answer 2

Answer:

x = 26.57

y = -17.43

Step-by-step explanation:

3x + 4y = 10 ..........eq 1

4x + 3y = 54 ............ eq 2

Now to equalize multiply eq 1 by 4 and eq 2 by 3

Eq 1 will be

4 ( 3x + 4y = 10 ) = 12x + 16y = 40 .......... eq 3

Eq 2 will be

3 ( 4x + 3y = 54 ) = 12x + 9y = 162 .......... eq 4

Now eq4 - eq3

=>12x + 9y = 162

-( 12x + 16y = 40)

=> 12x + 9y = 162

-12x - 16y = -40

- 7y = 122

=> y = 122/(-7) = -17.43

Now replace y by -17.43 in eq 1

3x + 4 ( -17.43 ) = 10

=> 3x - 69.72 = 10

=> 3x = 10 + 69.72 = 79.72

=> x = 79.72/3 = 26.57