2x + 3y = 13
–6x + 4y = 0
multiply the first equation by 3
6x +9y = 39
then add the 2nd equation to the first
6x +9y = 39
–6x + 4y = 0
-------------------
13y = 39
divide by 13
y =3
now take an equation and solve for x by substituting in y
2x +3y =13
2x +3(3) =13
2x+9 =13
subtract 9 from each side
2x =4
divide by 2
x=2
Answer (2,3)
Choice A
Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
8sm, 16sm, 10sm
Step-by-step explanation:
the first side of the triangle: x
the other side of the triangle: 2x
the third side of the triangle: x+2
the perimeter of the triangle: x+2x+x+2=34
4x=32
x=8
2*8=16
8+2=10
Answer:38
Step-by-step explanation:
I'm afraid you're wrong. We may divide 24 by 8 to find out how long does it take for Alejandra to husk 1 ear of corn and then just divide 33 by the result:
24 ÷ 8 = 3
So Alejandra husks 1 ear of corn in 3 minutes.
33 ÷ 3 = 11
Answer: In 33 minutes Alejandra can husk <u>11 ears of corn</u>.
