Question

Collin wants to solve this system of equations. Which number can he multiply the first equation by so that when the two equations are added together, the x term is eliminated? One-half x + one-fourth y = 5 2 x + three-eighths y = 5 –4 –2 2

Answer 1

Answer:

-9

Step-by-step explanation:

Answer 2

Answer:

-4

Step-by-step explanation:

The given equations are as follows:

$\[\frac{1}{2}x+\frac{1}{4}y=5\]$

$\[2x +\frac{3}{8}y=5\]$

The coefficient of x in the second equation is 2.

So in order to eliminate x we need to multiply the first equation by a value so that the coefficient of x becomes -2.

Since the coefficient of x in the first equation is \[\frac{3}{8}\], it needs to be multiplied by -4.

So the required multiplier for the first equation is -4