Question

What is value of y and x if 3x+2y=2 and 2x+3y=4​

Answer 1

Answer:
`\Large \boldsymbol{(-0,4 \ \ ; \ \ 1,6)}`

Explanation:

`\displaystyle \Large \boldsymbol{} - \left \{ {{3x+2y=2} \ \ |*3\atop {2x+3y=4}\ \ |*2} \right. => \\\\\\\ 9x-4x+6y\!\!\!\!\!\!\diagup-6y\!\!\!\!\!\!\diagup=6-8 \\\\5x=-2 \\\\x=-0,4 \ \ ; \ \ y=(2+1,2):2 =1,6`

Answer 2

We need to form a system of equations:

3x + 2y = 2

2x + 3y = 4

Now, we can multiply the first equation by 2, and the second equation by 3, to even out the coefficients by the variables (to make them the same thing).

6x + 4y = 4

6x + 9y = 12

Next, we can subtract the second equation from the first. We get:

0x - 5y = -8

Then this becomes:

-5y = -8

÷-1 ÷-1

5y = 8

÷5 ÷5

y = 1.6

Substitute 1.6 for y in one of the equations:

2x + 3(1.6) = 4

2x + 4.6 = 4

2x = -0.6

÷2 ÷2

x = -0.3