Question

\begin{aligned} &-x+4y=-9 \\\\ &y=-2x +6 \end{aligned} ​ −x+4y=−9 y=−2x+6 ​ Is (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis a solution of the system?

Answer 1

NO

Explanation:

Given the system of equation

-x+4y = -9,... 1

y = -2x+6.... 2

To find the solution to the equation

Substitute equation 2 into 1

-x+4(-2x+6) = -9

-x-8x+24 = -9

-9x= -9-24

-9x = -33

x = 33/9

Find y

y = -2x+6

y = -2(33/9)+6

y = -66/9 + 6

y = -66+54/9

y = -12/9

y = -4/3

Hence (2,3) is not the solution to the system of equation