Question

Here is a system of linear equations: {2x+1/2y=7

Answer 1

Answer:

1)   Adding

2)  x = 1.5   y = 8

Step-by-step explanation:

1. Which would be a more helpful for solving the system: adding the two equations or subtracting one from the other?

Adding.

Would eliminate the y variable

2.solve the system without graphing, show your reasoning

After adding the equations

8x = 12

Divide both sides by 12

x = 1.5

Substitute into the first equation

2(1.5) + (1/2)y = 7

3 + (1/2)y = 7

(1/2)y = 4

y = 8