Question

Identifying solutions to a systerFor each ordered pair, determine wheth- 3x +2y = 5y = 8x-4

Answer 1

We have the next system of equations

`\begin{gathered} -3x+2y=5 \\ y=8x-4 \end{gathered}`

First, we need to substitute the value of y of the second equation in the first equation.

`-3x+2(8x-4)=5`

Then we simplify the expression

`-3x+16x-8=5`

then we sum like terms

`13x=5+8`
`13x=13`

then we isolate the x

`x=(13)/(13)=1`

the value of x is 1.

Then to know the value of y we will substitute the value of x in the second equation

`y=8(1)-4=8-4=4`

the value of y is 4.

The solution of the system of equations is x=1, y=4 in point notation (1,4) this system only has one solution.