The value of x and y in the system of equations -2x+2y=-4 and 3x+3y=-18 is -1 and y is -5 respectively.
What is co-ordinate geometry?
Coordinate geometry is defined as the study of geometry using coordinate points.
Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
Given that:
The system of equations is
-2x+2y=-4.....(i)
3x+3y=-18.....(ii)
From equation (i) by simplifying,
we get
x = y + 4....(iii)
Put the value of x in equation (ii),
We get
3x + 3y = -18
By taking common 3 on both sides we get
x + y = -6
y + 4 + y = - 6
2y = -10y
y = -5
Put the value of y in equation (iii),
We get
x = y + 4
x = -5 + 4
x = -1
Therefore, the value of x and y in the system of equations -2x+2y=-4 and 3x+3y=-18 is -1 and y is -5 respectively.
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