Question

Can someone solve all of these?

Answer 1

• M, P, O, K

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Solve each system by subtraction.

System 1

• x + 6y = 10
• x + 2y = 2

After subtraction we get:

• 6y - 2y = 10 - 2
• 4y = 8
• y = 2

Find x by substitution:

• x + 2*2 = 2
• x + 4 = 2
• x = - 2

Solution is (-2, 2), choice M.

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System 2

• 3x + y = 7
• -2x + y = - 8

After subtraction we get:

• 3x - (-2x) = 7 - (-8)
• 5x = 15
• x = 3

Find y by substitution:

• 3*3 + y = 7
• 9 + y = 7
• y = - 2

Solution is (3, - 2), choice P.

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System 3

• 3x + 2y = 18
• x + 2y = 14

After subtraction we get:

• 3x - x = 18 - 14
• 2x = 4
• x = 2

Find y by substitution:

• 2 + 2y = 14
• 2y = 12
• y = 6

Solution is (2, 6), choice O.

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System 4

• x + 3y = 6
• 2x + 3y = 9

After subtraction we get:

• x - 2x = 6 - 9
• - x = - 3
• x = 3

Find y by substitution:

• 3 + 3y = 6
• 3y = 3
• y = 1

Solution is (3, 1), choice K.