Question

If x = a + 2/3, then find the value of 'a' from the equation 3x – 2 = 2x + 4​

Answer 1

Answer:

3x−2y=5............ (1)

3y−2x=3

−2x+3y=3

Multiply (1) by 2 & eq (2) by 3

6x−4y=10..........(3)

−6x+9y=19..........(4)

_______________

Adding eqn (3) and (4), we get

6x−4y=10

−6x+9y=19

___________

5y=1

y=

5

1

Putting the value in

6x−

5

4

=10

6x=10+

5

4

=

5

54

x=

5×6

54

=

5

9

x=

5

9

Now x+y=

5

9

+

5

1

=

5

10

=2$$

x+y=2

Step-by-step explanation:

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Answer 2

Answer:

The value of a is $\frac{16}{3}$

Step-by-step explanation:

Given:

$x=a+\frac{2}{3}$

Equation is $3x-2=2x+4$

Simplifying we get

$3x-2x=4+2\\\\x=6$

Substituting x we get

$a+\frac{2}{3}=6\\\\ a=6-\frac{2}{3}\\\\a=\frac{18-2}{3} \\\\a=\frac{16}{3}$