|
|
| Line 1: |
Line 1: |
| ==Problem==
| | #REDIRECT [[2005 AMC 12A Problems/Problem 2]] |
| The equations <math> 2x + 7 = 3 </math> and <math> bx - 10 = -2 </math> have the same solution <math>x</math>. What is the value of <math>b</math>?
| |
| | |
| <math> \mathrm{(A) \ } -8\qquad \mathrm{(B) \ } -4\qquad \mathrm{(C) \ } -2\qquad \mathrm{(D) \ } 4\qquad \mathrm{(E) \ } 8 </math>
| |
| | |
| ==Solution==
| |
| <math> 2x + 7 = 3 </math>
| |
| | |
| <math> x = -2 </math>
| |
| | |
| <math> bx - 10 = -2 </math>
| |
| | |
| <math> -2b - 10 = -2 </math>
| |
| | |
| <math> b = -4 \Rightarrow B </math>
| |
| | |
| ==See Also==
| |
| *[[2005 AMC 10A Problems]]
| |
| | |
| *[[2005 AMC 10A Problems/Problem 2|Previous Problem]]
| |
| | |
| *[[2005 AMC 10A Problems/Problem 4|Next Problem]]
| |
| | |
| [[Category:Introductory Algebra Problems]]
| |