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using simultaneous method
from equation 1
[tex]\begin{gathered} y=-3x+4 \\ \end{gathered}[/tex]put this in equation 2
[tex]\begin{gathered} y+3x=-4 \\ \text{but y = -3x + 4} \\ (-3x+4)+3x=-4 \\ -3x+4+3x=-4 \\ \text{collect like terms} \\ -3x+3x=-4-4 \\ 0=-8 \\ or\text{ x = 0} \end{gathered}[/tex]put x = 0 in either equation 1 or 2
[tex]\begin{gathered} y=-3x+4 \\ y=-3(0)+4 \\ y=4 \end{gathered}[/tex]x = 0, y = 4
using graph