Answer:
x=5 and y=4.
Step-by-step explanation:
The given system of equation is
[tex]x+y=9.0[/tex] ..... (1)
[tex]0.50x+0.20y=3.30[/tex] .... (2)
From equation (1) we get
[tex]x=9.0-y[/tex] ... (3)
Substitute this value in equation (2).
[tex]0.50(9.0-y)+0.20y=3.30[/tex]
[tex]4.5-0.50y+0.20y=3.30[/tex]
[tex]-0.30y=3.30-4.5[/tex]
[tex]-0.30y=-1.20[/tex]
Divide both sides by -0.30.
[tex]y=4[/tex]
Substitute y=4 in equation (3).
[tex]x=9.0-4=5[/tex]
Therefore, the value of x is 5 and the value of y is 4.
Answer: x = 5.0, y = 4.0
We multiply the second equation by -2.
-2(0.50 x + 0.20 y)= -2(3.30)
-x - 0.40y = -6.60
Then we add it to x + y = 9.0.
So we get: -x - 0.40y + x + y = -6.60 + 9.0
or, 0.60y = 2.4
or, y = 4.0
From x + y = 9.0 we get:
x + 4.0 = 9.0
x = 5.0
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