Answer:
x= 4/5
y= 2/5
Step-by-step explanation:
3x-y=2
2x+y=5
solve them so that they are in y=mx+b form
3x-y-3x=2-3x
-y= -3x+2
y= 3x -2
2x+y -2x= 2-2x
y= -2x+2
now use the substitution method to get your points
3x -2= -2x+2
3x -2+2= -2x+2+2
3x= -2x+4
3x+2x= -2x+4+2x
5x=4
x= 4/5
now substitute x into any of the 2 equations
y= 3x -2
y= 3(4/5) -2
y= 2 2/5 -2
y= 2/5
Hope this helped!
Answer:
p = 7.2
q = 6.4
Step-by-step explanation:
if the triangles are similar then the side lengths must be proportional :
AC/BA = CD/BE
9/5 = p/4 cross multiply expressions
5p = 36 divide both sides by 5
p = 7.2
same goes for q
9/5 = (q+8)/8 cross multiply expressions
72 = 5(q+8) divide both sides by 5
14.4 = q+8 subtract 8 from both sides
6.4 = q
The answer would be 100/101 if we follow according to the rule on which the sequence is based on!
Answer: x=3 and y=−2
Step-by-step explanation:
x=−2y−1;4x−4y=20
Step: Solve x=−2y−1 for x:
Step: Substitute−2y−1 for x in 4x−4y=20:
4x−4y=20
4(−2y−1)−4y=20
−12y−4=20(Simplify both sides of the equation)
−12y−4+4=20+4(Add 4 to both sides)
−12y=24
−12y
−12
=
24
−12
(Divide both sides by -12)
y=−2
Step: Substitute−2 for y x=−2y−1:
x=−2y−1
x=(−2)(−2)−1
x=3(Simplify both sides of the equation)
Answer:
51
Step-by-step explanation:
26+(3x+1)= 180