Question

4x-5y=-6 and 2x+y=6

urgent!!!​

Answer 1

Answer:

4x - 5y = 6

4x + 2y = 12

-3y = -6

y= 2

putting value of y in 4x -5y = 6

4x - 5(2) = 6

4x-10= 6

4x = 16

x=4........

Answer 2

$\bf {\underline {\boxed {\red { ( y , x )= ( 2.5 , 1.75 ) }}}}$

Step-by-step explanation:

4x - 5y = -6 ..... ( 1 )

2x + y = 6 ...... ( 2 )

Multiply equation ( 2 ) with 2

( 2x + y = 6 ) × 2

4x + 2y = 12 ..... ( 3 )

___________________________

Subtracting equation ( 3 ) from equation ( 1 )

We get,

-7y = -18

y = 18 / 7

y = 2.5

$\bf {\underline {\boxed {\pink { y = 2.5}}}}$

Putting the value of 7 is equation ( 3 )

4x + 2y = 12 ..... ( 3 )

4x + 2( 2.5 )= 12 ..... ( 3 )

4x + 5 = 12

4x = 12 - 5

4x = 7

x = 7/4

x = 1.75

$\bf {\underline {\boxed {\pink { x = 1.75}}}}$

$\bf {\underline {\boxed {\red { ( y , x )= ( 2.5 , 1.75 ) }}}}$

___________________________

Let's check the value of x and y by putting them in equation ( 2 )

2x + y = 6 ...... ( 2 )

2 ( 1.75 ) + ( 2.5 ) = 6

3.5 + 2.5 = 6

6 = 6

$\bf {\underline {\boxed {\red { ( y , x )= ( 2.5 , 1.75 ) }}}}$