Jacob walked for x miles and then cycled for y miles between his home and the library. The number of miles Jacob cycled was 3 miles more than twice the number of miles he walked. The total number of miles Jacob walked and cycled was 6 miles. Which graph best shows the number of miles Jacob walked and cycled?
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i believe its y = 2x + 3
x + y = 6
substitute first equation into second equation:
x + (2x + 3) = 6
3x + 3 = 6
3x = 3
x = 1
using first equation:
y = 2(1) + 3 = 5
check using second equation:
1 + 5 = 6 checks
x = 1, y = 5 or (1, 5) intersection point
Graph (4) is the only one that intersects at (1, 5). but i want to make sure