Practice Task 1 Graph the following systems of linear equations below. Then, tell whether their graphs are intersecting, coinciding, or parallel.
1. 2x + y = 2 2x + y = 6
2. y = -x + 3 y = x + 2
3. 2x + 2y = -8 x + y = -4
4. y = 3x + 5 y = 2x - 1
In Jesus name sana maayos ang mag sagot!
1. 2x + y = 2 2x + y = 6
2. y = -x + 3 y = x + 2
3. 2x + 2y = -8 x + y = -4
4. y = 3x + 5 y = 2x - 1
In Jesus name sana maayos ang mag sagot!
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1.NO/SOLUTION
Perpendicular
EXPLANATION:
Subtract the two equations:2×—y—(2×—y)=2—(—6)
Remove parentheses:2×—y—2×+y=2+6
Cancel one variable:0=2+6
Calculate the sum or difference:0= 8
The system of equations has no solution
Answer: no\ solution
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2.Y=³×
Parallel
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3.2
Coinciding
EXPLANATION:
Factor the expression:2(× + y)
× + y
Reduce the Fraction:2
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4.{×=4
{×=7
Intersecting
EXPLANATION:
Substitute into one of the equations:3×—5=2—1
Rearrange unknown terms to the left side of the equation:3×—2×=—1+5
Combine like terms:×=1+5
Calculate the sum or difference:×=5
Substitute into one of the equations:y=2×4—1
Calculate the product or quotient:y=8—1
Calculate the sum or difference:y=7
The solution of the system is:{×=4
{×=7
Answer:{×=4
{×=4
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