Question

What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points )

Answer 1

Answer:

Multiply the second equation by 2

Step-by-step explanation:

Given

$4x + 3y = 8$

$2x + 5y =12$

Required

Get matching coefficient for elimination

$4x + 3y = 8$

$2x + 5y =12$

The coefficient of x in both expressions are factors.

So, we can multiply the second equation by 2 to get the coefficient of x in the first.

i.e.

$2 * (2x + 5y = 12)$

$4x + 10y = 24$

So, the system becomes:

$4x + 3y = 8$

$4x + 10y = 24$

Now, x can be eliminated