19.solve for x and y
Answers
Step-by-step explanation:
Hi Dearie !
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Here,
\frac{x}{10} + \frac{y}{5} -1 = 0
10
x
+
5
y
−1=0
MBS By 10. we get,
x + 2y - 10 = 0
MBS by 2
2x + 4y - 20 = 0_____________________(1)
Also,
\frac{x}{8} + \frac{y}{6} - 15 = 0
8
x
+
6
y
−15=0
MBS By 24 , we get
3x + 4y - 360 = 0 ___________________(2)
Subtract Equation (1) From (2)
We get ,
3x + 4y - 360 = 0
2x + 4y - 20 = 0
x - 340 = 0
x = 340
Put value of x in equation (1)
we get ,
2 X 340 + 4y = 20
680 + 4y = 20
4y = 20 - 680
4y = -660
y = -165
Now, Put the values of x and y in
y =λx+5
-165 =λ(340) +5
-160 = 340λ
λ= -160/340
λ= -8/17