Solve 2x+3y=11 and 2x-4y=-24 and hence …
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Posted by Baisa Hkm ?? 4 years, 8 months ago
- 5 answers
Tanu Choudhary # 4 years, 8 months ago
Tanu Choudhary # 4 years, 8 months ago
Yogita Ingle 4 years, 8 months ago
Given equations are
2x+3y=11−−−−(1)
2x−4y=−24−−−−(2)
Form (1)
2x+3y=11
⇒2x=11−3y
⇒x=211−3y−−−(3)
substituting x in(2)
2x−4y=−24
⇒2(211−3y)−4y=−24
⇒11−3y−4y=−24
⇒11−7y=−24
⇒7y=35
⇒y=35/7
⇒y=5.
putting y = 5 in (3)
x=[11−3(5)]/2
⇒x=[11−15]/2
⇒x=−4/2
∴x=−2.
Hence x = -2 and y = 5 is the solution of the
equation.
Now, we have to find m
y=mx+3 ∴m=−1
5=3(−2)+3
5−3=−2m⇒−2m=2
⇒m=−2/x=−1
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Gourav Yadav 4 years, 8 months ago
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