Question

How many solutions does this system have?

Answer 1

Answer:

One Solution

(2, 1)

Step-by-step 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

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

$x+8x-12 = 6$

$9x = 6+12$

$9x = 18$

$x = \frac{18}{9}$

$x = 2$

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)