Solve the system of equations and choose the correct ordered pair. 3x + 4y = 385x - 5y = -30

3x + 4y= -30---(1)
385x - 5y = -30---(2)

equation (1) times 5 on each side---
(3x + 4y)×5=-30×5
15x+20y=-150 ---(3)

equation (2) times 4 on each side---
(385x - 5y)×4 = -30×4
1540x-20y=-120 ---(4)

If u add equation 3 and 4,
(15x+20y)+(1540x-20y)=(-150)+(-120)
1555x=-270
∴x=-270/1555

2x^2 -2x -12 = 02(x -3)(x +2) = 0see below for explanation

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

It’s going to be d. 4x^2-4x-19’