The answer
<span>2x - y + z = -3 (1)
2x + 2y + 3z = 2 (2)
3x - 3y - z = -4 (3)
</span> (1) - (2) 3y +2z =5
3 .(1) - 2.(2) 3y+5z = -1<span>
let 's solve
</span>3y +2z =5
3y+5z = -1<span>
z= - 2, and 3y =5+4=9, y=3, so </span>2x - 3 -2 = -3 implies x= 1
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finally x=1, y=3 and z= -2
proof
</span>2x - y + z = -3?? 2.1 - 3 -2 = -3 (true)<span>
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I will solve your system by substitution.<span><span>x=<span>−2</span></span>;<span>y=<span><span><span>23</span>x</span>+3</span></span></span>Step: Solve<span>x=<span>−2</span></span>for x:Step: Substitute<span>−2</span>forxin<span><span>y=<span><span><span>23</span>x</span>+3</span></span>:</span><span>y=<span><span><span>23</span>x</span>+3</span></span><span>y=<span><span><span>23</span><span>(<span>−2</span>)</span></span>+3</span></span><span>y=<span>53</span></span>(Simplify both sides of the equation)
Answer:<span><span>x=<span>−<span><span>2<span> and </span></span>y</span></span></span>=<span>5/3
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so the answer is B (the second choice)
(Hope it helped ^_^)
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Solution:
The probability of an event is expressed as
In a pack of 52 cards, we have
Thus, we have the probability to be evaluated as
A). The area of the shaded triangle is 64cm. This is because the formula for the area of a triangle is (b x h) / 2, and the base of this triangle is 16, and the height is 8. So, 16 x 8 is 128, and 128 / 2 = 64. The area is 64cm.
B). The area of each white triangle is 32cm because we can see that the two white triangles is equal to half of the shaded triangle, so we can take the base of the shaded triangle and divide it in two. Then we can use the formula for the area of a triangle and solve for the area: (b x h) / 2 = (8 x 8) / 2 = 32. The area of one of the white triangles is 32cm.
C). Since we have solved for the area of each of the triangles, we can add up all of these individual areas to get the area for the rectangle: White triangle + white triangle + shaded triangle = 32 + 32 + 64, which is equal to 128cm, the area of the rectangle.
Unfortunately we are unable to do this question since the question would have to be in the correct scale (meaning we need the original copy not a camera version). This question must be done by you. Just use a ruler and measure the lines
