Question 188359
{{{11z-3=9z}}} Start with the given equation.



{{{11z=9z+3}}} Add {{{3}}} to both sides.



{{{11z-9z=3}}} Subtract {{{9z}}} from both sides.



{{{2z=3}}} Combine like terms on the left side.



{{{z=(3)/(2)}}} Divide both sides by {{{2}}} to isolate {{{z}}}.



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Answer:


So the answer is {{{z=3/2}}} which in decimal form is {{{z=1.5}}}. 



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# 2



Is the equation {{{ (3/4)x - 7 = 7x + -582 }}} ???



{{{ (3/4)x - 7 = 7x + -582 }}} Start with the given equation.



{{{cross(4)((3/cross(4))x)-4(7)=4(7x)+4(-582)}}} Multiply EVERY term by the LCD {{{4}}} to clear the fractions.



{{{3x-28=28x-2328}}} Multiply and simplify.



{{{3x=28x-2328+28}}} Add {{{28}}} to both sides.



{{{3x-28x=-2328+28}}} Subtract {{{28x}}} from both sides.



{{{-25x=-2328+28}}} Combine like terms on the left side.



{{{-25x=-2300}}} Combine like terms on the right side.



{{{x=(-2300)/(-25)}}} Divide both sides by {{{-25}}} to isolate {{{x}}}.



{{{x=92}}} Reduce.



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Answer:


So the answer is {{{x=92}}}