Question

Solution of the system of linear equations 3x - 2y = 0, 2x + y = 7 is

Answer 1

Answer:

$3x - 2y = 0$

$= 3x = 2y$

$= x = \frac{2}{3} y$

$2x + y = 7$

$= 2( \frac{2}{3} y) + y = 7$

$= \frac{4y}{3} + y = 7$

$= \frac{4y + 3y}{3} = 7$

$= 7y = 7 \times 3$

$= y = \frac{21}{7}$

$y = 3$

$x = \frac{2}{3} y = \frac{2}{3} \times 3 = 2$

$So, \: x = 2 \: and \: y = 3$

Answer 2

Answer:

x= 2

y= 3

Step-by-step explanation:

3x-2y=0

-2y= -3x

y= -3x/-2

y= 3x/2

Put the value of y in equation two

2x+y= 7

2x+3x/2=7

4x+3x/2=7

7x/2=7

x=7×2/7

x=2

Now find the value of y using equation one

3x-2y=0

3×2-2y=0

6-2y=0

-2y= -6

y= -6/-2

y= 3

You can check your answer

3×2-2×3=0

6-6=0

Equation satisfied

Answer is correct