Difference between revisions of "1999 CEMC Pascal Problems/Problem 7"
(Created page with "==Problem== If <math>2x - 1 = 5</math> and <math>3y + 2 = 17</math>, then the value of <math>2x + 3y</math> is <math> \text{ (A) }\ 8 \qquad\text{ (B) }\ 19 \qquad\text{ (C)...") |
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<math>=6 + 15</math> | <math>=6 + 15</math> | ||
| − | <math>=21</math> | + | <math>=\boxed {\textbf {(C) } 21}</math> |
~anabel.disher | ~anabel.disher | ||
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<math>2x + 3y + 1 = 22</math> | <math>2x + 3y + 1 = 22</math> | ||
| − | <math>2x + 3y = 21</math> | + | <math>2x + 3y = \boxed {\textbf {(C) } 21}</math> |
| + | |||
| + | ~anabel.disher | ||
Latest revision as of 18:51, 29 June 2025
Problem
If 
and 
, then the value of 
is
Solution 1
Solving the equations for 
and 
, we get:
Plugging this into the expression, we get:
~anabel.disher
Solution 2
We can notice that the first equation contains 
and the second equation contains 
, like in the expression. This means that we can simply add the equations, and solve for :
~anabel.disher
