aidan07566 aidan07566
  • 11-04-2019
  • Mathematics
contestada

Solve system of equations using multiplication with addition method.

Solve system of equations using multiplication with addition method class=

Respuesta :

jimrgrant1 jimrgrant1
  • 11-04-2019

Answer:

(- 1, 5)

Step-by-step explanation:

Given the 2 equations

[tex]\frac{1}{3}[/tex](2x + y) = 1 → (1)

x + y = 4 → (2)

Multiply (1) by 3 to eliminate the fraction

2x + y = 3 → (3)

Eliminate y by subtracting (2) from (3) term by term

(2x - x) + (y - y) = (3 - 4) ← simplify

x = - 1

Substitute x = - 1 into (2) for corresponding value of y

- 1 + y = 4 ( add 1 to both sides )

y = 5

Solution is (- 1, 5)

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