Q1. Look at the picture.
[tex]C.\\y=-\dfrac{1}{3}x+3\\\\y=2x-4[/tex]
Q2. Look at the picture.
[tex]A.\ 4-t[/tex]
Q3.
Put the value of x = 2 to the equation 3x + y = 5:
[tex]3(2)+y=5[/tex]
[tex]6+y=5[/tex] subtract 6 from both sides
[tex]y=-1\\\\F.\ -1[/tex]
Q4.
[tex]\left\{\begin{array}{ccc}n=3m-11&(*)\\2m+3n=0&(**)\end{array}\right[/tex]
Substitute (*) to (**):
[tex]2m+3(3m-11)=0[/tex] use distributive property
[tex]2m+(3)(3m)+(3)(-11)=0[/tex]
[tex]2m+9m-33=0[/tex] add 33 to both sides
[tex]11m=33[/tex] divide both sides by 11
[tex]m=3[/tex]
Put the value of m to (*):
[tex]n=3(3)-11\\\\n=9-11\\\\n=-2[/tex]
[tex]C. (3,\ -2)[/tex]
Q5.
w - width
3w - length
24 in - the sum of length and width
The equation:
[tex]w+3w=24[/tex]
[tex]4w=24[/tex] divide both sides by 4
[tex]w=6\ in[/tex]
[tex]3w=3(6)=18\ in[/tex]
[tex]J.\ 18\ inches[/tex]
