Question

consider the aiatem of linear equations below.what is rhe x coordinate of the solution to the system if equations.

Answer 1

Let's solve the following system of linear equations.

`\begin{gathered} x+(3)/(4)y=5 \\ x-(1)/(2)y=0 \end{gathered}`

First we are going to multiply the equations by a factor to eliminate the fractions and make calculating them much easier.

`\begin{gathered} 4x+3y=20 \\ 2x-y=0 \end{gathered}`

Now we can solve the system of equations. We can see that from equation 2 it is possible to determine y = 2x and then replace it in equation 1.

`\begin{gathered} 4x+3(2x)=20 \\ 4x+6x=20 \\ 10x=20 \\ x=(20)/(10) \\ x=2 \end{gathered}`

We can see that the value for x is equal to 2