What is the solution of the system?

Mathematics

1 answer:

gulaghasi [49]3 years ago

7 0

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

Step-by-step 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 $= -\dfrac{1}{2}$ divided both sides by -10

Next, solve for x:

x = 2 - 4y

$= 2 - 4(-\frac{1}{2} )$

= 2 + 2

= 4

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