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Find the values of x and y for the given system of equations.
3x-2y=3
2x+2y=4
3x-2y=3
2x+2y=4
- a)x = 7/5, y = 3/5
- b)x=-(7/5) y= -(3/5)
- c)x=-(7/5) y= (3/5)
- d)x= (7/5) y= -(3/5)
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Find the values of x and y for the given system of equations.3x-2y=32x...
The given system of equations can be expressed in the form of AX=B,
⇒ X= A-1 B
We know that, A-1= (1/|A|) adj A
A-1= (1/10)
∴ X = A-1 B=
⇒ X= A-1 B
We know that, A-1= (1/|A|) adj A
A-1= (1/10)
∴ X = A-1 B=
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Find the values of x and y for the given system of equations.3x-2y=32x...
To find the values of x and y for the given system of equations, we can solve the system using the method of substitution or elimination. Let's solve it using the method of substitution.
Given system of equations:
3x - 2y = 3 ...(1)
2x + 2y = 4 ...(2)
Step 1: Solve equation (2) for x in terms of y.
2x = 4 - 2y
x = (4 - 2y)/2
x = 2 - y ...(3)
Step 2: Substitute the value of x from equation (3) into equation (1).
3(2 - y) - 2y = 3
6 - 3y - 2y = 3
6 - 5y = 3
-5y = 3 - 6
-5y = -3
y = (-3)/(-5)
y = 3/5
Step 3: Substitute the value of y into equation (3) to find the value of x.
x = 2 - (3/5)
x = (10/5) - (3/5)
x = 7/5
Therefore, the values of x and y for the given system of equations are x = 7/5 and y = 3/5.
Hence, the correct answer is option 'A' - x = 7/5, y = 3/5.
Given system of equations:
3x - 2y = 3 ...(1)
2x + 2y = 4 ...(2)
Step 1: Solve equation (2) for x in terms of y.
2x = 4 - 2y
x = (4 - 2y)/2
x = 2 - y ...(3)
Step 2: Substitute the value of x from equation (3) into equation (1).
3(2 - y) - 2y = 3
6 - 3y - 2y = 3
6 - 5y = 3
-5y = 3 - 6
-5y = -3
y = (-3)/(-5)
y = 3/5
Step 3: Substitute the value of y into equation (3) to find the value of x.
x = 2 - (3/5)
x = (10/5) - (3/5)
x = 7/5
Therefore, the values of x and y for the given system of equations are x = 7/5 and y = 3/5.
Hence, the correct answer is option 'A' - x = 7/5, y = 3/5.
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Find the values of x and y for the given system of equations.3x-2y=32x+2y=4a)x = 7/5, y = 3/5b)x=-(7/5) y= -(3/5)c)x=-(7/5) y= (3/5)d)x= (7/5) y= -(3/5)Correct answer is option 'A'. Can you explain this answer?
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