Question

Show your work for Question #4. Solve this system by substitution. y = 6x - 17

Answer 1

`\begin{gathered} y=6x-17\ldots.eqn(i)\text{ } \\ y=-4x+3\ldots.eqn(ii) \\ \text{Equating eqn (i) and eqn(i}i),\text{ we have,} \end{gathered}`
`\begin{gathered} 6x-17=-4x+3 \\ 6x+4x=3+17 \\ 10x=20 \\ x=(20)/(10) \\ x=2 \\ \text{Substituting 2 for x in eqn(i}i),\text{ we have} \\ y=-4(2)+3 \\ y=-8+3 \\ y=-5 \end{gathered}`

Hence, x=2 and y= -5