Question

-2x+2y=-2
3x+2y=8
solve the system of equations

Answer 1

The answer to the first equation is x=y+1

The answer to the second equation is x= -2/3 y+8/3

Explanation:

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x

Let's solve for x.

−2x+2y=−2

Step 1: Add -2y to both sides.

−2x+2y+−2y=−2+−2y

−2x=−2y−2

Step 2: Divide both sides by -2.

−2x

−2

=

−2y−2

−2

x=y+1

Answer:

x=y+1

2. Let's solve for x.

3x+2y=8

Step 1: Add -2y to both sides.

3x+2y+−2y=8+−2y

3x=−2y+8

Step 2: Divide both sides by 3.

3x/3=-2y+8/3

x=-2/3 y+8/3

Answer:

x= -2/3 y+8/3

Answer 2

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↪ By Substitution method

⇒Eq.1

• -2x+2y=-2
• y = -2 +2x

Soo value of y => y = 2x-2

↪ Substituting y= 2x-2 in ( 3x+2y = 8)

• 3x+2(2x-2)=8
• 3x+4x-4=8 (solving like terms)
• 6x=12
• 
  `x = \cancel (12)/(6)`
• x = 2

↪ Substituting x = 2 in eq 1 to get y

• -2x+2y=-2
• -2(2)+2y=-2
• -4+2y=-2(solving like terms)
• 2y= -2+4
• 2y= 2
• 
  `y = \cancel(2)/(2)`
• y=1

↪ hence, (2,1) is the solution ~

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