Solve 2x 3y 11 and 2x 4y 24
Asked by admin @ in Math viewed by 258 People
solve using substitution method 2x + 3y = 11 and 2x - 4y = -24 and hence find the value of 'm' for which y = mx + 3
Answered by admin @
2x + 3y = 11 .......(i)
2x - 4y = -24......(ii)
solving these equations by substitution method,
Now, from (ii), we get,
2x-4y=-24
2x=-24+4y
x=(-24+4y)/2
x=-24/2+4y/2
x=-12+2y...........(iii)
Put this value of x in (i), we get,
2(-12+2y) + 3y = 11
-24+4y+3y=11
7y=11+24
7y=35
y=35/7
y=5
now put this value of y in (iii)
=-12+2y
=-12+2(5)
=-12+10
=-2
y=mx+3 {y=5,x=-2)
5=m(-2)+3
5=-2m+3
5-3=-2m
2=-2m
2/2=-m
1=-m
-1=m
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