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AlekseyPX
3 years ago
7

Use Elimination to solve the system below, find X!!!

Mathematics
2 answers:
grin007 [14]3 years ago
5 0
The answer is x=2 that is the answer
aleksklad [387]3 years ago
4 0
X=2 and Y=3

Written out form: 3x + 3y=15
3•x + 3•y=15
3•2 + 3•3=15
6+9=15

Written out form: 2x + 3y= 13
2•x+ 3•y=13
2•2+3•3=13
4+9=13


=
=

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we know the segment QP is an angle bisector, namely it divides ∡SQR into two equal angles, thus ∡1 = ∡2, and ∡SQR = ∡1 + ∡2.

\bf \begin{cases} \measuredangle SQR = \measuredangle 1 + \measuredangle 2\\\\ \measuredangle 2 = \measuredangle 1 = 5x-7 \end{cases}\qquad \qquad \stackrel{\measuredangle SQR}{7x+13} = (\stackrel{\measuredangle 1}{5x-7})+(\stackrel{\measuredangle 2}{5x-7}) \\\\\\ 7x+13 = 10x-14\implies 13=3x-14\implies 27=3x \\\\\\ \cfrac{27}{3}=x\implies 9=x \\\\[-0.35em] ~\dotfill\\\\ \measuredangle SQR = 7(9)+13\implies \measuredangle SQR = 76

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