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4 votes
3x – 4y = 10

2x - 4y = 6
If (x, y) satisfies the system of equations above, what is the value of y?

User Svilenv
by
7.6k points

2 Answers

7 votes

Answer:

y=1/2

Explanation:

3x-4y=10..............{1]

2x-4y=6................(2)

subtract equa(2) from equa(1)

x=4

substitute x=4 into equa(1)

3(4)-4y=10

12-4y=10

-4y=10-12

-4y=-2

y=1/2

User Kasha
by
8.4k points
1 vote

Answer:


y=(1)/(2)

Explanation:

We can solve this system using elimination.

In this case, we can eliminate y by subtracting both equations...


3x-2x-4y-(-4y)=10-6\\x-4y+4y=10-6\\x=4

Then, substitute 4 for x to solve for y...


3x-4y=10\\3(4)-4y=10\\12-4y=10\\\text{Subtract 12 from both sides}\\-4y=-2\\\text{Divide both sides by -4}\\y=(1)/(2)

User Neil Neyman
by
8.2k points

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