Question

Solve this system of linear equations. separate the x - and y values with a comma. 6x+5y = 4

19x+2y = - 15​

Answer 1

x = - 1, y = 2

Explanation:

Given the 2 equations

6x + 5y = 4 → (1)

19x + 2y = - 15 → (2)

Multiplying (1) by 2 and (2) by - 5 and adding will eliminate the term in y

12x + 10y = 8 → (3)

- 95x - 10y = 75 → (4)

Add (3) and (4) term by term thus eliminating y

- 83x = 83 ( divide both sides by - 83 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting into (1)

6(- 1) + 5y = 4

- 6 + 5y = 4 ( add 6 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2