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Answer:
[tex]m=2\\\\w=77[/tex]
Step-by-step explanation:
[tex]4.6=4m-3.4[/tex]
Solve for m. Add 3.4 to both sides:
[tex]4.6+3.4=4m-3.4+3.4\\\\8=4m[/tex]
Isolate the variable. Divide both sides by 4:
[tex]\frac{8}{4}=\frac{4m}{4}\\\\ m=2[/tex]
[tex]\frac{w}{7} -2=9[/tex]
Solve for w. Add 2 to both sides:
[tex]\frac{w}{7}-2+2=9+2\\\\ \frac{w}{7}=11[/tex]
Isolate the variable. Multiply both sides by 7:
[tex]7(\frac{w}{7})=7(11)\\\\w=77[/tex]
:Done