Question

Question #f9676

Answer 1

You could use substitution (y = 1 - x) or linear systems.

Explanation:

Write the two equations as a linear system. Use algebraic properties to find the unknowns. A linear system can be solved as long as there are at least as many independent equations as there are variables.
`2x = 5y`
`x + y = 1` First, get all of the variables on one side:
`2x - 5y = 0`
`x + y = 1`; Now multiply the second equation by 5d and add it to the first one:
`2x - 5y = 0`
`5x + 5y = 5`

`7x = 5`; `x = 5/7`; Substitute this value back into the first equation to find the 'y'.
`2(5/7) = 5y`; `(2/5)(5/7) = y`; `y = 2/7`
CHECK by putting both values into the second equation:

`x + y = 1` ; `5/7 + 2/7 = 1` ; `1 = 1` CORRECT!