Answer:
(5,2,2)
Step-by-step explanation:
-3x+4y+2z = -3
2x-4y-z=0
y = 3x-13
Multiply the second equation by 2
2*(2x-4y-z)=0*2
4x -8y -2z =0
Add this to the first equation to eliminate z
-3x+4y+2z = -3
4x -8y -2z =0
-------------------------
x -4y = -3
Take the third equation and substitute it in for y
x - 4(3x-13) = -3
Distribute the 4
x - 12x +52 = -3
Combine like terms
-11x +52 = -3
Subtract 52 from each side
-11x +52-52 = -3-52
-11x = -55
Divide by -11
-11x/-11 = -55/-11
x=5
Now we can solve for y
y =3x-13
y =3*5 -13
y = 15-13
y=2
Now we need to find z
2x-4y-z=0
2(5) -4(2) -z=0
10-8 -z=0
2-z=0
Add z to each side
2-z+z= 0+z
2=z
x=5, y=2, z=2
(5,2,2)
Angle 4 is 77 degrees. Since angles 1, 2, and 3 must add up to 180 degrees, and angles 3 and 4 must also add up to 180 degrees, angles 1 + 2 must be equal to angle 4
Answer:
a) 3 b) 5 c) 7 d) 9
Step-by-step explanation:
For this, you want to replace x in the equation y=x+5 with each of the values listed.
For the first one, -2, the equation becomes y=-2+5, which is solved to y=3.
For the second one, 0, the equation becomes y=0+5, which is solved to y=5.
For the third one, 2, the equation becomes y=2+5, which is solved to y=7.
For the last one, 4, the equation becomes y=4+5, which is solved to y=9.
**This content involves solving algebraic equations with a known variable, which you may wish to revise. I'm always happy to help!
