What do the following two equations represent? -2x-4y=-3 6x+12y=9
1 answer:
Answer:
it is a simultaneous equation and x=1.5 and y=0
Step-by-step explanation:
-2x-4y=-3
6x+12y=9
make x the subject of formula in equation 2
6x+12y=9
6x=3-12y
divide both sides by 6
6x/6=3-12y/6
x=3-12y/6
substitute x=3-12y/6 into equation 1
-2(3-12y/6)-4y=-3
-18+24y/6-4y=-3
cross multiply
-18+24y-4y=-18
collect like terms
24y-4y=-18+18
20y=0
divide both sides by 20
20y/20=0/20
y=0
substitute y=0 into equation 2
6x+12(0)=9
6x+0=9
collect like terms
6x=9-0
6x=9
divide both sides by 6
6x/6=9/6
x=3/2=1.5
so x=1.5, y=0
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