Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.
2 answers:
We could solve for 'x' in the 2nd equation and then plug that into the first equation for 'x' and solve for 'y':
Subtract 6y to both sides:
Divide -2 to both sides:
Plug in 3y + 17 for 'x' in the first equation:
Distribute 5:
Combine like terms:
Subtract 85 to both sides:
Divide 17 to both sides:
This is the y-coordinate of the solution.
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Set it up like a regular equation. I used:
As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
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This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.
As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u>
This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.