Question

Solve the system using linear combination. show all work. 9x+5y=35 -2x-5y=0

Answer 1

(5,-2)

Explanation:

9x+5y=35 -2(5)-5y=0

+ -2x-5y=0 -10-5y=0

7x=35 +10 +10

/7 /7 -5y=10

x=5 /-5 /-5

y=-2

Answer 2

x = -5

y = 0

Explanation:

1. Combine like terms

9x + 5y = -2x - 5y = -35

7x + 5y = -5y = 35

7x = -35

2. Solve for X

7x /7 = -35 /7

x = -5

3. Solve for Y

y = 0

4. Check work

9 (-5) + 5 (0) = 35 - 2 (-5) - 5 (0) = 0

-45 + 0 = 35 +10 - 0 = 0

-45 = 45 = 0

0 = 0