Solve the following system of linear equations: x + y = 7; 2x - 3y = 4. Hence, obtain the value of 3x-2ya.2b.5c.7d.11
Question
Solve the following system of linear equations:
x + y = 72x - 3y = 4.
Hence, obtain the value of 3x-2y
- a. 2
- b. 5
- c. 7
- d. 11
Solution
Sure, let's solve the system of linear equations first:
- x + y = 7
- 2x - 3y = 4
Step 1: Solve the first equation for x:
x = 7 - y
Step 2: Substitute x in the second equation:
2(7 - y) - 3y = 4 14 - 2y - 3y = 4 14 - 5y = 4 5y = 14 - 4 5y = 10 y = 10 / 5 y = 2
Step 3: Substitute y = 2 into the first equation:
x + 2 = 7 x = 7 - 2 x = 5
So, the solution to the system of equations is x = 5 and y = 2.
Now, let's find the value of 3x - 2y:
3x - 2y = 35 - 22 = 15 - 4 = 11
So, the value of 3x - 2y is 11.
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