Question

2x - 4y = 6
X - 2y = 3
Solve the systems of equation by substitution

Answer 1

The system has infinitely many solutions.

Explanation:

System of equations given:

`$\left \{ {{2x - 4y = 6} \atop {x - 2y = 3}} \right. $`

From the system, we know that

`x=3+2y`

Now let's find
`y` using
`x=3+2y`

`2x-4y=6`

`2(3+2y)-4y=6`

`6+4y-4y=6`

`6=6`

The system has infinitely many solutions:

`$\left \{ {{2x - 4y = 6} \atop {x - 2y = 3}} \right. $`

If we divide both sides of the first equation by 2,

`$\left \{ {{x - 2y = 3} \atop {x - 2y = 3}} \right. $`

Answer 2

Infinite number of solutions.

Explanation:

Both of the equations are the same in different form. Therefore, there is an infinite number of solutions.