christopheran06
Answered

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what is the y-value of the solution to the system:{3x+4y=-6,5x+2y=4

Sagot :

thebecks

Answer:

y = -3

Step-by-step explanation:

3x + 4y = -6   then,   3x = -4y - 6,     x = (-4y - 6)/3

5x + 2y = 4

substitute for x:

5(-4y - 6)/3 + 2y = 4

simplify:

(-20y - 30)/3 = 4 - 2y

-20y - 30 = (3)(4 - 2y)

-20y - 30 = 12 - 6y

-14y = 42

y = -3

check:

5x + 2(-3) = 4

5x = 10

x = 2

3(2) + 4(-3) = -6

6 - 12 = -6

-6 = -6

5(2) + 2(-3) = 4

10 - 6 = 4

4 = 4

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