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hannahbrown889
20.01.2021 •
Mathematics
The point (-2,3) is the solution to a system of two linear equations. Which of the following can be one of the
equations?
A. y=3x-2
B.-x+1
C.y=x-1
D.y=2x+3
Solved
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Ответ:
We conclude that The point (-2, 3) satisfies the equation y = -x+1.
Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.
Step-by-step explanation:
Given
The point (-2, 3)Checking option A
Given the equation
y = 3x-2
substitute x = -2 and y = 3
3 = 3(-2) - 2
3 = -6 - 2
3 = -8
FALSE!
L.H.S ≠ R.H.S
Thus,
The point (-2, 3) does not satisfy the equation y = 3x-2.
Checking option B
Given the equation
y = -x+1
substitute x = -2 and y = 3
3 = -(-2)+1
3 = 2+1
3 = 3
TRUE!
L.H.S = R.H.S
Thus,
The point (-2, 3) satisfies the equation y = -x+1.
Checking option C
Given the equation
y=x-1
substitute x = -2 and y = 3
3 = -2-1
3 = -3
FALSE!
L.H.S ≠ R.H.S
Thus,
The point (-2, 3) does not satisfy the equation y=x-1.
Checking option D
Given the equation
y=2x+3
substitute x = -2 and y = 3
3 = 2(-2)+3
3 = -4+3
3 = -1
FALSE!
L.H.S ≠ R.H.S
Thus,
The point (-2, 3) does not satisfy the equation y=2x+3.
Conclusion:
Thus, we conclude that The point (-2, 3) satisfies the equation y = -x+1.
Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.
Ответ:
y = 3x - 8
Find b by plugging in the point (x,y) which is (3,1).
1= 3(3)+b
1= 9 + b
-8 = b