Answer:
Step-by-step explanation:
4d=42-6
4d=36
d=36:4=9
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Step-by-step explanation:
y = mx + b, where m is the line's slope and b is the y-intercept.
We have m = -1. When x = -1, y = 2/3.
=> (2/3) = (-1)(-1) + b, b = 2/3 - 1 = -1/3.
Hence the value of b is -1/3.
Eliminate <em>x</em> by taking two equations at a time and combining them in the the right parts.
For example, taking the first two equations, we can eliminate <em>x</em> by subtracting 2 times the second equation away from the first:
(2<em>x</em> - 5<em>y</em> + 7<em>z</em>) - 2 (<em>x</em> - 3<em>y</em> + 4<em>z</em>) = 6 - 2×3
(2<em>x</em> - 2<em>x</em>) + (-5<em>y</em> + 6<em>y</em>) + (7<em>z</em> - 8<em>z</em>) = 6 - 6
<em>y</em> - <em>z</em> = 0
Similarly, take 3 times the second equation from the third:
(3<em>x</em> - 8<em>y</em> + 11<em>z</em>) - 3 (<em>x</em> - 3<em>y</em> + 4<em>z</em>) = 11 - 3×3
(3<em>x</em> - 3<em>x</em>) + (-8<em>y</em> + 9<em>y</em>) + (11<em>z</em> - 12<em>z</em>) = 11 - 33
<em>y</em> - <em>z</em> = -22
But these two new equations say 0 = -22, which is not true. So there is no solution to this system.
