Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
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<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
The answer would be 0, as the slope of a line is definite as it pitch, or rate of increase. So if the line were going up to the right it would be positive, to the left, negative. An undefined slope would be the exact opposite of that slope. The slope you have, when written in y=mx+b is y=4
The number that u could use for Descartes rule and the fundamental theorem of algebra to predict is 200,000 and 900
