The equations –a – 7b = 14 and –4a – 14b = 28 represent a system of linear equations. Which statement correctly explains how to eliminate the variable b when solving the system of equations? Multiply the first equation by –2 and add it to the second equation. Then solve the resulting equation, –2a = 0. Multiply the first equation by 2 and add it to the second equation. Then solve the resulting equation, –2a = 0. Divide the second equation by –4 and add it to the first equation. Divide the second equation by 4 and add it to the first equation.

The ratio of two numbers is 5 to 4. the sum of the numbers is 99. what number is the greater of the two numbers?

Matt had 5 library books. he checked out 1 additional book every week without retuening any books. whats the matching equation

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.