Using elimination method {1/3x + 0.2y = -0.2 , 2/3x - 0.75 = -5

Solve the system of equations using the elimination method
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1 Answer

Multiply the first equation by 2: ⅔x+0.4y=-0.4.

Subtract ⅔x-0.75y=-5: 1.15y=4.6, y=4.6/1.15=4.

Substitute y=4 in the first equation:

⅓x+0.8=-0.2, ⅓x=-1, x=-3.

SOLUTION: x=-3, y=4.

CHECK:

-1+0.8=-0.2 OK

-2-3=-5 OK

This confirms the solution.
by Top Rated User (1.2m points)

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