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The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers?

Original system: x + y = 10,

y = 4x

Slope-intercept form:

y = –x + 10,

y = 4x

Use the work shown to complete the statement.

The slopes and y-intercepts of the two equations are
, so this system has
.