Determine the number solutions for system x-2y=1 and -4x+8y=-4

Hence, the system of equation does not have solution.

Step-by-step explanation:

You have the following 2x2 system:

You can obtain the solution to the system by using substitution method.

You solve the first equation for x:

      (3)

Next, you replace (3) in the equation (2), and you solve for y:

The last result is the trivial solution. This means that the equation (2) is a multiple scale of the first equation. In fact, if you multiply equation (1) by -4, you obtain the equation (2).

Hence, the system of equations does not have solution.

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step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.