For the following system of equations: 3x + y = 8 4x - 2y = 2 the value of y is:a.1.8b.2.6c.3.5d.4.7
Question
For the following system of equations:
The value of y is:
- a. 1.8
- b. 2.6
- c. 3.5
- d. 4.7
Solution
To solve for y in the system of equations:
3x + y = 8 4x - 2y = 2
First, we can simplify the second equation by dividing every term by 2:
2x - y = 1
Now we have:
3x + y = 8 2x - y = 1
We can add these two equations together:
(3x + y) + (2x - y) = 8 + 1 5x = 9
Then, solve for x:
x = 9/5 x = 1.8
Substitute x = 1.8 into the first equation:
3(1.8) + y = 8 5.4 + y = 8 y = 8 - 5.4 y = 2.6
So, the value of y is 2.6 (option b).
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