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: 3x + y = 8 4x - 2y = 2 the value of y is:a.1.8b.2.6c.3.5d.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).
Similar Questions
What is the solution to the system of equations?7x + 3y = -8-4x - y = 6
What is the y-value of the solution to the following system of linear equations?y = x + 8x + 2y = 1
Solve the following system of linear equations: x + y = 7; 2x - 3y = 4. Hence, obtain the value of 3x-2ya.2b.5c.7d.11
What kind of system is y = 3x – 5, 2x + y = 8?
Find the x solution of the following system of equations.x - 2y = 4;-3x + 5y = -7a.-5b.-6c.5d.6
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.