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Jet001 [13]
3 years ago
9

Graph the following system of equations and find the x-coordinate of the solution.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

The x - coordinate of the solution is x=-2

Explanation:

The two equations are $3 x+3 y=3$ and y=-\frac{1}{2} x+2

Let us determine the value of the x - coordinate using the substitution method.

Let us substitute y=-\frac{1}{2} x+2 in the equation $3 x+3 y=3$, we get,

3x+3(-\frac{1}{2} x+2)=3

Multiplying the term 3 within the bracket, we get,

3x-\frac{3}{2} x+6=3

Subtracting both sides of the equation by 6, we get,

3x-\frac{3}{2} x=-3

Taking LCM on the LHS of the equation, we get,

\frac{6x-3x}{2} =-3

Subtracting the numerator, we have,

\frac{3x}{2}=-3

Multiplying both sides of the equation by 2, we have,

3x=-6

Dividing both sides of the equation by 3, we get,

x=-2

Thus, the x - coordinate of the solution is x=-2

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