Question

Solve by using the addition method.
0.4x - 0.6y = 0.5
0.2x 0.3y = 0.7

Answer 1

Answer:

Step-by-step explanation:

BRAINLIEST BRAINLIEST BRAINLIEST

Answer 2

$x=\dfrac{19}{8}$ and $y=\dfrac{3}{4}$

Step-by-step explanation:

The given linear equations are:

$0.4x-0.6y=0.5$           .......(1)

$0.2x+0.3y=0.7$           .......(2)

To find, the value of x and y = ?

Multipying equation (2) by 2, we get

$0.4x+0.6y=1.4$           .......(3)

Adding (1) and (3), we get

$0.4x-0.6y+0.4x+0.6y=0.5+1.4$

⇒ $0.4x+0.4x=1.9$

⇒ $0.8x=1.9$

⇒ $x=\dfrac{19}{8}$

Put $x=\dfrac{19}{8}$ in (1), we get

$0.4(\dfrac{19}{8})-0.6y=0.5$

⇒ $0.6y=\dfrac{7.6}{8}-0.5=0.95-0.5=0.45$

⇒ $y=\dfrac{0.45}{0.6} =\dfrac{45}{60}$

⇒$y=\dfrac{3}{4}$

Hence, $x=\dfrac{19}{8}$ and $y=\dfrac{3}{4}$