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

$x=\frac{13}{13}=1$

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.