Question 1089057

Solve the following system of equations by graphing.
x+2y=8
2x+4y=32
<pre>x + 2y = 8____2y = - x + 8_____{{{matrix(1,3, y, "=", (- 1/2)x + 4)}}} ------- eq (i)
2x + 4y = 32____2(x + 2y) = 2(16)_____x + 2y = 16____2y = - x + 16_____{{{matrix(1,3, y, "=", (- 1/2)x + 8)}}} ------- eq (ii)
Substitute 0 for x in eq (i) to get the y-intercept. Then substitute 0 for y to get the x-intercept.
Plot the points
Join the points
Repeat the process for eq (ii)
You'll see that the linear graphs have the same slope: {{{- 1/2}}}, and will therefore be parallel, which means that there are no solutions to this system.