Question

Need help only on these two problems please

Answer 1

Explanation:

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3).

y = 4x + 16

y = 3x + 14

y = y

4x + 16 = 3x + 14

4x - 3x = 14 - 16

x = -2

y = 4x + 16

y = 4(-2) + 16

y = -8 + 16

y = 8

(x, y) = (-2, 8)

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5).

-x + 2y = -11

y = 4x + 5

-x + 2y = -11

-x + 2(4x + 5) = -11

-x + 8x + 10 = -11

7x = - 11 - 10

7x = -21

x = -3

y = 4x + 5

y = 4(-3) + 5

y = -12 + 5

y = -7

(x, y) = (-3, -7)

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Answer 2

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Answer:

3) (x, y) = (-2, 8)

5) (x, y) = (-3, -7)

Explanation:

3) The expression for y can be substituted into the other equation.

4x +16 = 3x +14

x = -2 . . . . . . . . . . subtract 3x+16 from both sides

y = 3(-2) +14 = -6 +14 = 8

The solution is (x, y) = (-2, 8).

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5) Substitute for y in the first equation.

-x +2(4x +5) = -11

-x +8x +10 = -11

7x = -21 . . . . . . . . . subtract 10

x = -3 . . . . . . . . . . . divide by 7

y = 4(-3) +5 = -12 +5 = -7

The solution is (x, y) = (-3, -7).