Question

Someone pls help this is an easy question if u know what ur doing !!

Bea has decided to use the elimination method to solve the system of equations as
shown below.
3x - y = 23
2 + 2y = 10
Which of the following statements could be Bea's first step.
on
O Multiply the top equation by 2. then add the equations together.
O Multiply the top equation by-2. then add the equations together,
O Multiply the bottom equation by 3, then add the equations together,
O Multiply the top equation by 2 and the bottom equation by 3, then add the equations together

Answer 1

I think the first option is the correct one.

for elimination you'd need to multiply one of the equations by a number in order to cancel out the other equation.

Answer 2

There are several ways to solve a system of equations, one of them is the elimination method.

The statement that can represent Bea's first step is (a) multiply the top equation by 2, then add the equations together.

The system of equation is given as:

$3x - y = 23$

$x + 2y = 10$

To eliminate y, we start by multiplying the top equation by 2

$3x - y = 23$

This gives

$2(3x - y = 23)$

$6x - 2y =46$

Add this equation to the bottom equation

$6x + x - 2y + 2y =46 + 10$

$7x =56$

Notice that the variable y has been eliminated.

Hence, the possible first step is statement (a)

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