A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird f eeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point. 18 + 3x = 24 + 2x What does x represent?
1 answer:
<span>Simplifying
18 + 3x = 24 + 2x
Solving
18 + 3x = 24 + 2x </span><span>Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right </span><span>Add '-2x' to each side of the equation.
18 + 3x + -2x = 24 + 2x + -2x </span> <span>Combine like terms: 3x + -2x = 1x
18 + 1x = 24 + 2x + -2x </span> <span>Combine like terms: 2x + -2x = 0
18 + 1x = 24 + 0
18 + 1x = 24 </span> <span>Add '-18' to each side of the equation.
18 + -18 + 1x = 24 + -18 </span> <span>Combine like terms: 18 + -18 = 0
0 + 1x = 24 + -18
1x = 24 + -18
</span> <span>Combine like terms: 24 + -18 = 6
1x = 6 </span> <span>Divide each side by '1'.
x = 6
Simplifying
x = 6 Hope I helped ;) </span>
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