Question

How do I solve this linear system using the elimination method?

Answer 1

Answer:

Solution: $x=4$, $y = \frac{5}{2}$

Step-by-step explanation:

System of Equations

Solve the system:

x + 4y = 14

3x - 2y = 7

using the elimintation method.

To use the elimination method, we must add or subtract both equations in such a way that one of the variables goes away, and only one remains.

It requires to multiply one of them by a specific factor to match the coefficients. For example, multiply the first equation by -3:

-3x - 12y = -42

And add it to the second:

3x - 2y = 7

To result:

-14y = -35

Divide by -14:

$y = -35/(-14)$

Simplifying:

$y = \frac{5}{2}$

Now calculate x:

$x = 14 - 4*\frac{5}{2}$

$x = 14-10$

$x=4$

Solution: $x=4$, $y = \frac{5}{2}$