Question

Solve the following system of equations.
​
​ 2x+4y=5−2x+3y=9

A
(−32,−2)
B
(32,2)
C
(32,−2)
D
(−32,2)

Answer 1

Answer: The choice D, x = -3/2, y = 2 or (-3/2, 2)

Step-by-step explanation:

$2x+4y=5\\-2x+3y=9$

If this is what you mean...

So (2x+4y)+(-2x+3y) = 5+9

Eliminate Method (2x-2x = 0 we gonna eliminate x)

$7y=14\\y=2$

Then substitute y in any equations (Do not substitute in both.) For me, I'd substitute in 2x+4y = 5 (You can substitute in -2x+3y = 9 instead.)

$2x+4(2)=5\\2x+8=5\\2x=5-8\\2x=-3\\x=-\frac{3}{2}$

So x = -3/2 and y = 2