Question

Which ordered pair is a solution to the system of linear equations Y= -7x+2 and y=9x-1

(-5,1)
(1,-5)
(5,-1)
(-1,5)

Answer 1

a

Explanation:

took the test

Answer 2

`\left\{\begin{array}{ccc}y=-7x+2\\y=9x-1\end{array}\right\Rightarrow 9x-1=-7x+2\\\\9x-1=-7x+2\ \ \ |+1\\9x=-7x+3\ \ \ |+7x\\16x=3\ \ \ \ |:16\\x=(3)/(16)\\\\\text{substitute the value of x to the second equation}\\\\y=9\cdot(3)/(16)-1\\\\y=(27)/(16)-(16)/(16)\\\\y=(11)/(16)\\\\\text{The solution is}\ \left((3)/(16);\ (11)/(16)\right)`