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System of equations.

System of equations.-example-1
User Splaktar
by
7.9k points

1 Answer

7 votes

Answer:

(- 1, 2 )

Explanation:

Given the 2 equations

2x + 5y = 8 → (1)

- x + 3y = 7 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the term in x, thus

- 2x + 6y = 14 → (3)

Add (1) and (3) term by term to eliminate the x- term

11y = 22 ( divide both sides by 11 )

y = 2

Substitute y = 2 in either of the 2 equations and evaluate for x

Substituting in (1)

2x + 5(2) = 8

2x + 10 = 8 ( subtract 10 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Solution is (- 1, 2 )

User Michel Kansou
by
8.2k points

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