Need help only on these two problems please
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Answer:
3) (x, y) = (-2, 8)
5) (x, y) = (-3, -7)
Step-by-step 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).
Step-by-step explanation:
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
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