Part a)
3x+2y=12------> equation 1
y=x-9------> equation 2
substitute equation 2 in equation 1
3x+2*[x-9]=12-----> 3x+2x-18=12----> 5x=30------> x=6
y=6-9-----> y=-3
the answer part a) is
(6,-3)-------> word-----> HE
Part b)
4x+y=-2-----> equation 1
y=2x-2-----> equation 2
substitute equation 2 in equation 1
4x+[2x-2]=-2-----> 6x=0----> x=0
y=2*0-2-----> y=-2
the answer part b) is
(0,-2)-------> word-----> MADE
Part c)
-3x+5y=5-----> equation 1
y=x-1------> equation 2
substitute equation 2 in equation 1
-3x+5*[x-1]=5-----> -3x+5x-5=5----> 2x=10-----> x=5
y=5-1-----> y=4
the answer Part c) is
(5,4)-------> word-----> A
Part d)
2x+y=-16-----> equation 1
y=2x---> equation 2
substitute equation 2 in equation 1
2x+[2x]=-16-----> 4x=-16-----> x=-4
y=2*(-4)-----> y=-8
the answer Part d) is
(-4,-8)-------> word-----> KNOT
Part e)
7x=-35------> x=-5
-8x+9y=4-----> -8*(-5)+9y=4-----> 40+9y=4----> 9y=-36-----> y=-4
the answer Part e) is
(-5,-4)-------> word-----> IN
Part f)
-4x+3y=20-----> equation 1
-14y=-56----> y=4
substitute in equation 1
-4x+3*4=20-----> -4x=8----> x=-2
the answer Part f) is
(-2,4)-------> word-----> HIS
Part g)
13x-6y=-5------> equation 1
x+10=11-----> x=1
13*1-6y=-5------> -6y=-5-13-----> y=3
the answer Part g) is
(1,3)-------> word-----> TAIL
Part h)
9x-2y=12----> equation 1
y+4=16------> y=12
9x-2*12=12-----> 9x=36----> x=4
the answer Part h) is
(4,12)-------> word-----> AND
Part i)
x=6+2y------> equation 1
-3x+14y=-18------> equation 2
substitute equation 1 in equation 2
-3*[6+2y]+14y=-18------> -18-6y+14y=-18----> 8y=0-----> y=0
x=6+2*0-----> x=6
the answer Part i) is
(6,0)-------> word-----> CALLED
Part j)
5x-9y=12-----> equation 1
y=-6-x-----> equation 2
substitute equation 2 in equation 1
5x-9*[-6-x]=12-------> 5x+54+9x=12-----> 14x=-42------> x=-3
y=6-(-3)----> y=-3
the answer Part j) is
(-3,-3)-------> word-----> IT
Part k)
x=-8+y------> equation 1
6x+y=-6------> equation 2
substitute equation 1 in equation 2
6*[-8+y]+y=-6-----> -48+6y+y=-6-----> 7y=42-----> y=6
x=-8+6-----> x=-2
the answer Part k) is
(-2,6)-------> word-----> A
Part l)
7x-3y=17----> equation 1
y=2x-6------> equation 2
substitute equation 2 in equation 1
7x-3*[2x-6]=17------> 7x-6x+18=17-----> x=-1
y=2*(-1)-6----> y=-8
the answer Part l) is
(-1,-8)-------> word-----> PIGS
part m)
The physical education instructor asked each student to do a total of 36 pull-ups and push-ups in 1 minute. The instructor wanted students to do 8 times as many push-ups as pull-ups. Write a system of linear equations that represents this situation. How many pull-ups and push-ups were required in 1 minute?
let
x-------->pull-ups
y------->push-ups
we know that
x+y=36-----> equation 1
y=8x-----> equation 2
substitute equation 2 in equation 1
x+8x=36--------> 9x=36------> x=4
y=8*4-----> y=32
the solution is (4.32)---------> word TIE
HE MADE A KNOT IN HIS TAIL AND CALLED IT A PIG'S TIE
