<span>
<span>1st</span></span><span> formula 2n + 3m = 280
</span><span><span>
</span><span>2nd</span></span><span> formula 2n + 5m = 320
</span><span><span>
</span><span>rearrange 1st</span> formula to equal n:</span>
<span><span>2n = -3m + 280
</span>
</span><span>n = -3/2
m + 140
</span><span><span>
</span><span>rearrange 2nd</span> formula to equal n:</span>
<span><span>2n = -5m + 320
</span>
</span><span>n = -5/2m + 160
</span><span><span>
so now you have
</span>-3/2m + 140 = -5/2m + 160 </span>
<span><span>Rearrange to become:
</span>
</span><span><span>-3/2m + 5/2m = 160 - 140
</span>
</span><span>m = 20
</span><span>
</span>
<span>Now place 20 into the very 1st</span><span><span> equation in place
of the letter m
</span>
</span><span><span>2n + 3(20) = 280
</span>
</span><span><span>2n + 60 = 280
</span>
</span><span><span>2n = 220
</span>
</span><span>n = 110
</span><span><span>
</span>so it costs $110 per night, $20 per meal</span>
can be simplified as 5-9+7=-4+7=3
Check the picture below.
notice that 146° is sitting on a flat-line, and thus it has a sibling linear angle, namely 34°.
now, recalling that a triangle has a sum of 180° for all interior angles, the missing one is 126°, and incidentally that is a corresponding angle with "c".
You can solve real-world and mathematical problems with numerical and algebraic equations and inequalities. Algebra can be applied to the temperature in different places that both change, height of a growing child over time, the speed of a car that changes over time (mph), and the age of people that increases over year. Algebra is used in parts of our everyday life, we just don’t realize it.
