Question

Ayudenme con esta ecuacion de igualacion ¿ resuelve cada sistema de ecuacion por el metodo de igualacion?

7x + 4y = 2
x + y= 1

Answer 1

`{x, y} = {-(2)/(3), (5)/(3)}`

Explanation:

7x + 4y = 2

x + y = 1

// Solve equation [2] for the variable y

[2] y = -x + 1

// Plug this in for variable y in equation [1]

[1] 7x + 4•(-x +1) = 2

[1] 3x = -2

// Solve equation [1] for the variable x

[1] 3x = - 2

[1] x = - 2/3

// By now we know this much :

x = -2/3

y = -x+1

// Use the x value to solve for y

y = -(-2/3)+1 = 5/3

Solution :

{x,y} = {-2/3,5/3}