Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box.

box contains - 3

Step-by-step explanation:

a(x - 3) + 2x = -(x - 5) +4              Remove the brackets on both sides

ax - 3a + 2x = -x + 5   + 4             Subtract 2x from both sides.

ax - 3a + 2x - 2x = -x - 2x + 9

ax - 3a = - 3x + 9

ax - 3(-3) = - 3x + 9

ax + 9 = - 3x + 9

Now if you make a = -3 then both sides with have - 3 for the x coefficient.

Any number could be put in for x and it will make the answer on both sides equal. Notice you could subtract 9 from both sides and it will not change the condition of the problem.

c = -3

Step-by-step explanation:

Call the unknown c

c(x-3) +2x = -(x-5) +4

Distribute the negative sign

c(x-3) +2x = -x+5+4

Combine like terms

c(x-3) +2x = -x +9

Subtract 2x from each side

c(x-3) +2x-2x = -x-2x +9

c(x-3) = -3x+9

Factor a -3 from the right side

c(x-3) = -3(x-3)

Divide by (x-3)

c = -3

The right and left hand side need to be equal for there to be infinite solutions, so c = -3

En matemáticas, el teorema de Pitágoras, también conocido como teorema de Pitágoras, es una relación fundamental en la geometría euclidiana entre los tres lados de un triángulo rectángulo. Establece que el área del cuadrado cuyo lado es la hipotenusa es igual a la suma de las áreas de los cuadrados en los otros dos lados.d

a^2+b^2=c^2

Step-by-step explanation:Espero que esto haya ayudado!