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-5x+6y=-2 and 5x-3y=1 How many solution

Sagot :

MathWiz0001

Step-by-step explanation:

Find the values of x and y to determine how many solutions.

Use the elimination method. Add both of the equations.

Sum:

[tex]3y=-1[/tex]

Divide each side by 3:

[tex]\boxed{y=-\frac{1}{3}}[/tex]

Substitute y = -(1/3) into the first equation:

[tex]-5x+6(-\frac{1}{3})=-2[/tex]

Multiply:

[tex]-5x-2=-2[/tex]

Add 2 to both sides:

-5x = 0

We can determine:

[tex]\boxed{x=0}[/tex]

(0, -1/3)

The system of equations have 1 solution.

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