Solve the simultaneous equations.
x + 2y = 9
5x – y = – 10

(- 1, 5 )

Step-by-step explanation:

Given the 2 equations

x + 2y = 9 → (1)

5x - y = - 10 → (2)

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

10x - 2y = - 20 → (3)

Add (1) and (3) term by term to eliminate y

11x + 0 = - 11

11x = - 11 ( divide both sides by 11 )

x = - 1

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

Substituting into (1)

- 1 + 2y = 9 ( add 1 to both sides )

2y = 10 ( divide both sides by 2 )

y = 5

solution is (- 1, 5 )

x + 2y = 9 x + 2y = 9

》

5x - y = - 10 (×2) 10x - 2y = - 20

+

11x + 0 = - 11

11x = - 11

x = - 1

Thus :

- 1 + 2y = 9

Add both sides 1

2y - 1 + 1 = 9 + 1

2y = 10

Divide both sides by 2

2y ÷ 2 = 10 ÷ 2

y = 5

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chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.