Becca graphs the equations y is equal to negative 3 times open paren x minus 1 close paren and y is equal to x minus 5 to solve the equation negative 3 times open paren x minus 1 close paren is equal to x minus 5 Her graph is shown. What are the solution(s) of negative 3 times open paren x minus 1 close paren is equal to x minus 5 ?
Set the two expressions equal and solve: −3(x − 1) = x − 5 becomes −3x + 3 = x − 5. Add 3x and 5 to both sides to get 8 = 4x, so x = 2. The solution is 2, choice B.
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