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mafiozo [28]
3 years ago
15

-1.5x+0.3y=1.5 1.8x+0.9y=-8.1

Mathematics
1 answer:
seropon [69]3 years ago
3 0
X = -2 and y = -5

Explanation: Solve by using the process of elimination. 

Step: Solve<span><span><span>−<span>1.5x</span></span>+<span>0.3y</span></span>=1.5
Solving for x = </span><span><span><span><span>−<span>1.5x</span></span>+<span>0.3y</span></span>+<span>−<span>0.3y</span></span></span>=<span>1.5+<span>−<span>0.3y *</span></span></span></span>Add -0.3y to both sides*

<span><span>−<span>1.5x</span></span>=<span><span>−<span>0.3y</span></span>+1.5

</span></span><span><span><span>−<span>1.5x</span></span><span>−1.5</span></span>=<span><span><span>−<span>0.3y</span></span>+1.5</span><span>−1.5 *</span></span></span>Divide both sides by -1.5*

<span>x=<span><span>0.2y</span>−1</span></span>
Step: Substitute <span><span>0.2y</span>−1 </span>for x in <span><span><span><span>1.8x</span>+<span>0.9y</span></span>=<span>−8.1</span></span>:

</span><span><span><span>1.8x</span>+<span>0.9y</span></span>=<span>−8.1

</span></span><span><span><span>1.8<span>(<span><span>0.2y</span>−1</span>)</span></span>+<span>0.9y</span></span>=<span>−8.1

</span></span><span><span><span>1.26y</span>−1.8</span>=<span>−8.1 *</span></span>Simplify both sides of the equation*

<span><span><span><span>1.26y</span>−1.8</span>+1.8</span>=<span><span>−8.1</span>+1.8</span></span>(Add 1.8 to both sides)

<span><span>1.26y</span>=<span>−6.3

</span></span><span><span><span>1.26y</span>1.26</span>=<span><span>−6.3</span>1.26 *</span></span>Divide both sides by 1.26*

<span>y=<span>−5

</span></span>Step: Substitute <span>−5 </span>for yi n <span><span>x=<span><span>0.2y</span>−1</span></span>:

</span><span>x=<span><span>0.2y</span>−1

</span></span><span>x=<span><span><span>(0.2)</span><span>(<span>−5</span>)</span></span>−1

</span></span><span>x=<span>−2 *</span></span><span>Simplify both sides of the equation*</span>
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