Question

How many solutions does this system have?

Answer 1

One Solution

(2, 1)

Explanation:

We have the following system of equations

`x+4y = 6\\y=2x-3`

To solve the system, substitute the second equation in the first equation and solve for the variable x

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

`x+8x-12 = 6`

`9x = 6+12`

`9x = 18`

`x = (18)/(9)`

`x = 2`

Now substitute the value of x into any of the two equations and solve for the variable y.

`y=2(2)-3`

`y=4-3`

`y=1`

Finally the system of equations has one solution

(2, 1)