Question

substitute each ordered pair into the given equation. choose all ordered pairs that satisfy the equation. 1) 3a + 2b = 6 a) (2,0) b) (0,3) c) (4,-3) d) (-2,0) e) (-1,-2)

Answer 1

GIven equation is,

$3a+2b=6$

to check whether the given ordered pair satisfy the equation

consider the ordered pair (2,0)

$\begin{gathered} 3(2)+2(0)=6 \\ 6=6 \end{gathered}$

thus its satisfy the equation.

consider the ordered pair,(0,3)

$\begin{gathered} 3(0)+2(3)=6 \\ 6=6 \end{gathered}$

thus its satisfy the equation.

consider the ordered pair (4,-3)

$\begin{gathered} 3(4)+2(-3)=6 \\ 12-6=6 \\ 6=6 \end{gathered}$

thus its satisfy the equation.

consider the ordered pair (-2,0)

$\begin{gathered} 3(-2)+2(0)=6 \\ -6\ne6 \end{gathered}$

thus, it dosenot satisy the equation.

consider the ordered pair (-1,2)

$\begin{gathered} 3(-1)+2(2)=6 \\ -3+4=6 \\ 1\ne6 \end{gathered}$

thus, it dosenot satisy the equation.

The ordered pair that satisfy the equations are,

(2,0) ,