The answer is C: (3,3)
<span><span><span>x+<span>3y</span></span>=12</span>;<span><span><span>−<span>4x</span></span>+<span>3y</span></span>=<span>−3</span></span></span>Step: Solve<span><span>x+<span>3y</span></span>=12</span>for x:<span><span><span>x+<span>3y</span></span>+<span>−<span>3y</span></span></span>=<span>12+<span>−<span>3y</span></span></span></span>(Add -3y to both sides)<span>x=<span><span>−<span>3y</span></span>+12</span></span>Step: Substitute<span><span>−<span>3y</span></span>+12</span>forxin<span><span><span><span>−<span>4x</span></span>+<span>3y</span></span>=<span>−3</span></span>:</span><span><span><span>−<span>4x</span></span>+<span>3y</span></span>=<span>−3</span></span><span><span><span>−<span>4<span>(<span><span>−<span>3y</span></span>+12</span>)</span></span></span>+<span>3y</span></span>=<span>−3</span></span><span><span><span>15y</span>−48</span>=<span>−3</span></span>(Simplify both sides of the equation)<span><span><span><span>15y</span>−48</span>+48</span>=<span><span>−3</span>+48</span></span>(Add 48 to both sides)<span><span>15y</span>=45</span><span><span><span><span><span>15y</span>15</span></span></span>=<span><span><span>4515</span></span></span></span>(Divide both sides by 15)<span>y=3</span>Step: Substitute3foryin<span><span>x=<span><span>−<span>3y</span></span>+12</span></span>:</span><span>x=<span><span>−<span>3y</span></span>+12</span></span><span>x=<span><span><span>(<span>−3</span>)</span><span>(3)</span></span>+12</span></span><span>x=3</span><span>(Simplify both sides of the equation)</span>
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<span>Hope this helps!</span>
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Answer:
5 and 1/6 for this problem so the one u have selected is right
<u>Answer-</u>
<em>The length of GE is </em><em>10 units.</em>
<u>Solution-</u>
Mid-Point Theorem-
The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
As given,
EX = XF, so X is the mid point of EF
GY = YF, so Y is the mid point of GF
Hence, XY is the line segment connecting the midpoints of two sides of a triangle.
Applying the theorem,
GE = 2XY = 2×5 = 10 units
<span>The atmosphere will burn up most space-waste (meteors) entering into the earths atmosphere and absorbs radiation from space (ultraviolet solar radiation ex.)
Hope this is useful.</span><span>
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Answer:
x=1, y=10
Step-by-step explanation:
I'm gonna use the method of substitution.
2x+3(3x+7)=32
2x+9x+21=32
11x=11
x=1
y=10