Question

Alonzo wrote the equation x = 2+4y-5. Which equation is equivalent?

Answer 1

Consider the equation $x = 2+4y-5$, it can be expressed as $x = 4y-3$.

Now, we have to write the equivalent equation.

Since, Equivalent equations are those equations which have exactly same solution. We can say that the two equations are equivalent if solution of one equation is the solution of other equation.

So, consider the equation $x = 4y -3$

Equivalent equation can be obtained by multiplying the given equation by any number say '2'.

Multiplying both sides of the given equation by '2'.

$x = 4y-3$

$2 \times x = 2 \times (4y-3)$

$2x = (2 \times 4y)-( 2 \times 3)$

$2x = 8y-6$ is the required equivalent equation.