Question

Solve the following system using the substitution method. Enter your answer as an ordered pair in the form (x,y) 3x - 2y =17 5x + 10y = - 25

Answer 1

Step-by-step explanation

`\begin{gathered} 3x-2y=17\Rightarrow equation(1) \\ 5x+10y=-25\Rightarrow equation(2) \end{gathered}`

Step 1

a) isolate x in equation (1) and substitute in equation (2)

so

`\begin{gathered} 3x-2y=17\Rightarrow equation(1) \\ \text{add 2y in both sides} \\ 3x-2y+2y=17+2y \\ 3x=17+2y \\ \text{divide both sides by 3} \\ (3x)/(3)=(17+2y)/(3) \\ x=(17+2y)/(3) \end{gathered}`

replace in equation(2)

`\begin{gathered} 3x-2y=17\Rightarrow equation(1) \\ 5x+10y=-25\Rightarrow equation(2) \end{gathered}`