Respuesta :
Answer:
1. y = 8/11x + 10/11
2. y = -3/2x - 13/7
Step-by-step explanation:
1. -8x + 11y = 10
Add 8x to both sides
11y = 8x + 10
Divide both sides by 11
y = 8/11x + 10/11
2. 6 = -4y - 11x
20 = -10x - 10y
26 = -14y - 21x
Add 21x to both sides
-14y = 21x + 26
Divide both sides by -14 and simplify!
y = -3/2x - 13/7
For the first problem, multiply the top equation by 2, so the resulting equation is 16x-12y = -40. You notice that if you add the bottom equation to the top equation, the X’s cancel out, resulting in the equation: 5y = -10, so y = -2. Plug -2 into y, and x = -4. For the second problem, you can multiply the top equation by 5 resulting in: -20y-55x = 30. The bottom equation can be multiplied by -2 resulting in: 20y+20x = -40. Notice that the y’s can cancel if the top and bottom equation are added together.