Question

What is the solution of the system?

Use the substitution method.

{3x+2y=11x−2=−4y

The only solution is (12, −52) .

The only solution is (4, −12) .

There is no solution.

There are an infinite number of solutions.

Answer 1

your answer would be b

Explanation:

Answer 2

Answer:
`\bold{\text{b.}\bigg(4,-(1)/(2)\bigg)}`

Explanation:

x - 2 = -4y → x = 2 - 4y

3x + 2y = 11

3(2 - 4y) + 2y = 11 replaced "x" with (2 - 4y)

6 - 12y + 2y = 11 distributed "3" on left side

6 - 10y = 11 added like terms (-12y + 2y)

- 10y = 5 subtracted "6" from both sides

y
`= -(1)/(2)` divided both sides by -10

Next, solve for x:

x = 2 - 4y

`= 2 - 4(-(1)/(2) )`

= 2 + 2

= 4