How do solve the following linear system?: # y=3x+4 , 6x2y=8 #?
There is an infinite number of solutions.
Notice that the 2nd equation is just the 1st one multiplied by 2, which means that the lines coincide. Therefore, the equations have the same graph and every solution of one equation is a solution of the other. There is an infinite number of solutions. This is a "Consistent, Dependent System".
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To solve the linear system:

Substitute the expression for y from the first equation into the second equation: 6x  2(3x + 4) = 8

Distribute the 2: 6x + 6x  8 = 8

Simplify and solve for x: 0x  8 = 8 8 = 8

Since 8 = 8 is always true, the system has infinitely many solutions and is dependent.

To find the ycoordinate, use either of the original equations. Let's use the first equation: y = 3x + 4

Substitute the value of x from step 3 into the equation: y = 3(0) + 4 y = 4
Therefore, the solution to the system is (0, 4).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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