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Sagot :
[tex]y=6x-11\\
-2x-3y=-7\\\\\
substitute \ y=6x-11\ into\ equation\\\\\
-2x-3(6x-11)=-7\ \ \ \ |omit\ the\ bracket\\\\
-2x+18x+33=-7\\\\
16x+33=-7 \ \ \ \ | subtract\ 33\\\\
16x=-40\ \ \ | divide\ by\ 16\\\\
x=-\frac{40}{16}=-\frac{5}{2}\\\\
y=6x-11=6*(-\frac{5}{2})-11=-15-11=-26\\\\Solution:\\ \left \{ {{y=-26} \atop {x=-\frac{5}{2}}} \right. [/tex]
so you substitute y=6x-11 into -2x-3y=-7
-2x-3(6x-11)=-7
add like terms
-20x+33=-7
subtract 33 from both sides
-20x=-40
multiply by -1
20x=40
divide both sides by 20
x=2
-2x-3(6x-11)=-7
add like terms
-20x+33=-7
subtract 33 from both sides
-20x=-40
multiply by -1
20x=40
divide both sides by 20
x=2
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