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Answer:
(- 1, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 13 → (1)
2x - 2y = - 10 → (2)
Multiplying (2) by 2 and adding to (1) eliminates the term in y
4x - 4y = - 20 → (3)
Add (1) and (3) term by term to eliminate y, that is
7x + 0 = - 7
7x = - 7 ( divide both sides by 7 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
3(- 1) + 4y = 13
- 3 + 4y = 13 ( add 3 to both sides )
4y = 16 ( divide both sides by 4 )
y = 4
solution is (- 1, 4 )