Determine 4649

Determine five solutions to the equation of two unknowns. Write as arranged pairs and draw in the graph. What does a diagram of a linear equation look like?
2x + 3y = 7

Correct answer:

y₁ =  2.3333
y₂ =  1.6667
y₃ =  1
y₄ =  0.3333
y₅ =  -0.3333

Step-by-step explanation:

$$\begin{gathered} x_1=0 \\ {y}_1=(7-2\cdot x_1)/3=(7-2\cdot 0)/3=\frac{7}{3}=2\frac{1}{3}\doteq 2.3333 \\ {A}_1=[x_1,y_1] \end{gathered}$$

$$\begin{gathered} x_2=1 \\ {y}_2=(7-2\cdot x_2)/3=(7-2\cdot 1)/3=\frac{5}{3}=1\frac{2}{3}\doteq 1.6667 \\ {A}_2=[x_2,y_2] \end{gathered}$$

$$\begin{gathered} x_3=2 \\ {y}_3=(7-2\cdot x_3)/3=(7-2\cdot 2)/3=1 \\ {A}_3=[x_3,y_3] \end{gathered}$$

$$\begin{gathered} x_4=3 \\ {y}_4=(7-2\cdot x_4)/3=(7-2\cdot 3)/3=\frac{1}{3}\doteq 0.3333 \\ {A}_4=[x_4,y_4] \end{gathered}$$

$$\begin{gathered} x_5=4 \\ {y}_5=(7-2\cdot x_5)/3=(7-2\cdot 4)/3=-\frac{1}{3}\doteq -0.3333 \\ {A}_5=[x_5,y_5] \end{gathered}$$

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