Question

Y= 4x-3.
Y= -2x+9 solve the system of equations

Answer 1

y=4x-3

y= 1

Y = -2x+9

Y=7 ans

Answer 2

`y=7,\:x=1`

Explanation:

Given that:

`y=4x+3,\:y=-2x+9\\\\\mathrm{Substitute\:}y=-2x+9\\\\\implies -2x+9=4x+3\\\\\implies -2x-4x = 3-9\\\\\implies -6x = -6\\\\\implies x = 1\\\\\mathrm{For\:}y=-2x+9\\\\\mathrm{Substitute\:}x=1\\\\y=-2\cdot \:1+9\\\\\mathrm{Simplify}\\\\y=7\\\\\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\y=7,\:x=1`