Question

Solve for the value of y in the system of equations:

2x−4y=6
5x+2y=9
A) y=−1
B) y=2
C) y=1
D) y=−2

Answer 1

To solve the system of equations: 2x - 4y = 6 and 5x + 2y = 9, we can use the method of substitution or elimination. By using the substitution method and solving for y, we find that y = -1/2.

Step-by-step explanation:

To solve the system of equations: 2x - 4y = 6 and 5x + 2y = 9, we can use the method of substitution or elimination.

Using the substitution method, we can solve the first equation for x in terms of y: 2x = 4y + 6, x = 2y + 3.

Substituting this value of x into the second equation, we get: 5(2y + 3) + 2y = 9. Simplifying this equation, we get: 10y + 15 + 2y = 9, 12y + 15 = 9, 12y = -6, y = -1/2.

Therefore, the value of y in the system of equations is y = -1/2.