Answer: x = 5
y = 2
z = 2
Step-by-step explanation:
-3x+4y+2z=-3 - ,- - - - - - 1
2x-4y-z=0 - - - - - - - - - - 2
y=3x-13 - - - - - - - - - - 3
We will use the method of substitution.
Substituting y = 3x -13 into equation 1 and equation 2, it becomes
-3x+4(3x-13)+2z=-3
-3x + 12x - 52 + 2z=-3+52
9x+2z = 49 - - - - - - -4
2x - 4(3x-13)-z= 0
2x - 12x + 52 - z = 0
-10x- z = -52 - - - - - - --5
Using elimination method to solve equation 4 and equation 5
Multiply equation 5 by 2 and equation 4 by 1
-20x - 2z = -104
9x+2z = 49
Adding both equations,
-11x = -55
x = -55/-11
x = 5
Substituting x = 5 into equation 3
y = 3x - 13
y = 3×5 -13 = 15-13
y = 2
Substituting x = 5 and y = 2 into equation 1,
-3x+4y+2z=-3
-3×5 + 4×2 +2z = -3
-15+8+2z = -3
-7+2z = -3
2z = -3+7
2z = 4
z = 4/2 = 2
For triangles, area is 1/2 base times height
8. Base 15 1/4 and height 18. Base and height can be flipped around to make the math easier, so 1/2(18)(15 1/4) = 9(15 1/4) = 9(61/4) = 549/4= 137 1/4 sq inches
9. Base 13 and height 11. Area = (1/2)(13)(11)= (13/2)(11) = 143/2 = 71 1/2 sq inches
10. Same thing again. Base = 30, height = 20, so area = (1/2)(30)(20) = 15(20) = 300 square km.
11. Base = 8, height = 5, so (1/2)(8)(5)= 4(5)= 20 square feet.
12. Base = 5, height = 3, so area = (1/2)(5)(3)= (5/2)(3)= 15/2; for 200 tiles we would take (15/2)(200)= 15(100) = 1500 square cm
13. Monica forgot to multiply base and height by 1/2.
Answer:
the answer is -3x+2 good luck
Answer:
x + y = 20
Step-by-step explanation:
Let the amount collected by Alexa = $x
& the amount collected by Daniel = $y
Total amount collected = $20
Therefore,
x + y = 20
Answer:
3 is the GCF
Step-by-step explanation:
that is your answer
