I've tried elimination of every type and its required, but 2x+6y=18 and 3x+2y=13
1 answer:
Lets start with one of the equations.
<span>2x+6y=18
</span>Add -6y to both sides.
<span><span><span><span>2x</span>+<span>6y</span></span>+<span>−<span>6y</span></span></span>=<span>18+<span>−<span>6y
</span></span></span></span><span><span>2x</span>=<span><span>−<span>6y</span></span>+18
</span></span>Divide both sides by 2.
<span><span><span>2x</span>2</span>=<span><span><span>−<span>6y</span></span>+18</span>2
</span></span><span>x = <span><span>−<span>3y </span></span>+ 9 <--
Now lets plug this into the other equation.
</span></span>Simplify both sides of the equation.
<span><span><span>3<span>(<span><span>−<span>3y</span></span>+9</span>)</span></span>+<span>2y</span></span>=13
</span><span>Simplify
</span><span><span><span>−<span>7y</span></span>+27</span>=13
</span>Subtract 27 from both sides.
<span><span><span><span>−<span>7y</span></span>+27</span>−27</span>=<span>13−27
</span></span><span><span>−<span>7y</span></span>=<span>−14
</span></span>Divide both sides by -7.
<span><span><span>−<span>7y/</span></span><span>−7 </span></span>= <span><span>−14/</span><span>−7
</span></span></span><span>y=2
</span>Answer:
<span>y=2</span><span>
Now that we figured out the value for y, lets plug it into either equation.
</span>2x+6(-2)=18<span>
</span>Simplify both sides of the equation.
<span><span><span>2x</span>+<span><span>(6)</span><span>(<span>−2</span>)</span></span></span>=18
</span><span>Simplify
</span><span><span><span>2x</span>−12</span>=18
</span>Add 12 to both sides.
<span><span><span><span>2x</span>−12</span>+12</span>=<span>18+12
</span></span><span><span>2x</span>=30
</span>Divide both sides by 2.
<span><span><span>2x/</span>2 </span>= <span>30/2
</span></span><span>x=<span>15</span></span>
Final answer:
y = 2
x = 15
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B is the right answer
f(x) = x-3
y= x-3
x= y-3
x+3 =y
f^-1(x) = x+3
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a) -3g +35
b)-12m+6
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