3x + 6y =3 x - y = -7 Does the system have: no solutions, infinite solutions, or one solution?
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Answer:
<h2>Step-by-step explanation:
Solve the equation for y by moving 'x' to R.H.S and changing its sign
Substitute the given value of y into the equation 5x + y = 28
Solve the equation for x
Collect like terms
Move constant to R.H.S and change its sign
Subtract the numbers
Divide both sides of the equation by 4
Calculate
Reduce the numbers with 2
Now, substitute the given value of x into the equation y = 2 - x
Solve the equation for y
The possible solution of the system is the ordered pair ( x , y )
<h2>-------------------------------------------------------------
Let's check if the given ordered pair is the solution of the system of equation:
plug the value of x and y in both equation
Simplify the equalities
Since , all of the equalities are true, the ordered pair is the solution of the system.
Hope this helps....
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