Answer: [tex]x=-11[/tex]
Step-by-step explanation:
You can use the Method of substitution.
Substitute the equation [tex]y=3-\frac{1}{2}x[/tex] into the equation [tex]3x + 4y = 1[/tex] and then you must solve for the variable x:
[tex]3x + 4y = 1\\\\3x + 4(3-\frac{1}{2}x) = 1\\[/tex]
Apply Distributive property:
[tex]3x + 12-\frac{4}{2}x = 1\\3x+12-2x=1[/tex]
Subtract 12 from both sides of the equation and then add the like terms. Then you get:
[tex]3x+12-2x-12=1-12\\3x-2x=-11\\x=-11[/tex]
