Answer:
(5.5, 4.3 )
Step-by-step explanation:
Given the 2 equations
4x - 15y = - 43 → (1)
2x - 3y = - 2 → (2)
Multiplying (2) by - 2 and adding to (1) eliminates the term in x
- 4x + 6y = 4 → (3)
Add (1) and (3) term by term to eliminate x, that is
- 9y = - 39 ( divide both sides by - 9 )
y = [tex]\frac{39}{9}[/tex] ≈ 4.3 ( to 1 dec. place )
Substitute this value into either of the 2 equations and solve for x
Substituting into (2)
2x - 3([tex]\frac{39}{9}[/tex] ) = - 2
2x - 13 = - 2 ( add 13 to both sides )
2x = 11 ( divide both sides by 2 )
x = 5.5
Best solution is (5.5, 4.3 )
